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Finding the Fourth Proportional to 1,190.76, 1,643.45 and 797.84

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Solution

The fourth proportional to 1,190.76, 1,643.45 and 797.84 is: 1,101.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.76 : 1,643.45 = 797.84 : x
  2. Step 2: Convert to fraction form
    1,190.76/1,643.45 = 797.84/x
  3. Step 3: Cross multiply
    1,190.76x = 1,643.45 × 797.84
  4. Step 4: Simplify right side
    1,190.76x = 1,311,210.15
  5. Step 5: Solve for x
    x = 1,311,210.15/1,190.76
  6. Step 6: Final answer
    x = 1,101.15

Related Problems

Find fourth proportional to 595.38, 821.73 and 398.92
Half scale
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Double scale
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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.