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Finding the Fourth Proportional to 712.50, 983.12 and 432.68

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Solution

The fourth proportional to 712.50, 983.12 and 432.68 is: 597.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.50 : 983.12 = 432.68 : x
  2. Step 2: Convert to fraction form
    712.50/983.12 = 432.68/x
  3. Step 3: Cross multiply
    712.50x = 983.12 × 432.68
  4. Step 4: Simplify right side
    712.50x = 425,374.99
  5. Step 5: Solve for x
    x = 425,374.99/712.50
  6. Step 6: Final answer
    x = 597.02

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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.