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Finding the Fourth Proportional to 712.76, 983.67 and 433.04

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Solution

The fourth proportional to 712.76, 983.67 and 433.04 is: 597.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.76 : 983.67 = 433.04 : x
  2. Step 2: Convert to fraction form
    712.76/983.67 = 433.04/x
  3. Step 3: Cross multiply
    712.76x = 983.67 × 433.04
  4. Step 4: Simplify right side
    712.76x = 425,968.46
  5. Step 5: Solve for x
    x = 425,968.46/712.76
  6. Step 6: Final answer
    x = 597.63

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Find fourth proportional to 356.38, 491.84 and 216.52
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.