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Finding the Fourth Proportional to 762.98, 1,052.96 and 431.43

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Solution

The fourth proportional to 762.98, 1,052.96 and 431.43 is: 595.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.98 : 1,052.96 = 431.43 : x
  2. Step 2: Convert to fraction form
    762.98/1,052.96 = 431.43/x
  3. Step 3: Cross multiply
    762.98x = 1,052.96 × 431.43
  4. Step 4: Simplify right side
    762.98x = 454,276.38
  5. Step 5: Solve for x
    x = 454,276.38/762.98
  6. Step 6: Final answer
    x = 595.40

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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.