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Finding the Fourth Proportional to 712.71, 983.44 and 432.90

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Solution

The fourth proportional to 712.71, 983.44 and 432.90 is: 597.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.71 : 983.44 = 432.90 : x
  2. Step 2: Convert to fraction form
    712.71/983.44 = 432.90/x
  3. Step 3: Cross multiply
    712.71x = 983.44 × 432.90
  4. Step 4: Simplify right side
    712.71x = 425,731.18
  5. Step 5: Solve for x
    x = 425,731.18/712.71
  6. Step 6: Final answer
    x = 597.34

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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.