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Finding the Fourth Proportional to 712.31, 983.05 and 432.62

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Solution

The fourth proportional to 712.31, 983.05 and 432.62 is: 597.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.31 : 983.05 = 432.62 : x
  2. Step 2: Convert to fraction form
    712.31/983.05 = 432.62/x
  3. Step 3: Cross multiply
    712.31x = 983.05 × 432.62
  4. Step 4: Simplify right side
    712.31x = 425,284.45
  5. Step 5: Solve for x
    x = 425,284.45/712.31
  6. Step 6: Final answer
    x = 597.05

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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.