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Finding the Fourth Proportional to 1,191.03, 1,643.31 and 686.76

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Solution

The fourth proportional to 1,191.03, 1,643.31 and 686.76 is: 947.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.03 : 1,643.31 = 686.76 : x
  2. Step 2: Convert to fraction form
    1,191.03/1,643.31 = 686.76/x
  3. Step 3: Cross multiply
    1,191.03x = 1,643.31 × 686.76
  4. Step 4: Simplify right side
    1,191.03x = 1,128,559.58
  5. Step 5: Solve for x
    x = 1,128,559.58/1,191.03
  6. Step 6: Final answer
    x = 947.55

Related Problems

Find fourth proportional to 595.52, 821.66 and 343.38
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.