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Finding the Fourth Proportional to 712.57, 983.45 and 432.92

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Solution

The fourth proportional to 712.57, 983.45 and 432.92 is: 597.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.57 : 983.45 = 432.92 : x
  2. Step 2: Convert to fraction form
    712.57/983.45 = 432.92/x
  3. Step 3: Cross multiply
    712.57x = 983.45 × 432.92
  4. Step 4: Simplify right side
    712.57x = 425,755.17
  5. Step 5: Solve for x
    x = 425,755.17/712.57
  6. Step 6: Final answer
    x = 597.49

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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.