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Finding the Fourth Proportional to 757.60, 1,045.50 and 462.88

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Solution

The fourth proportional to 757.60, 1,045.50 and 462.88 is: 638.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.60 : 1,045.50 = 462.88 : x
  2. Step 2: Convert to fraction form
    757.60/1,045.50 = 462.88/x
  3. Step 3: Cross multiply
    757.60x = 1,045.50 × 462.88
  4. Step 4: Simplify right side
    757.60x = 483,941.04
  5. Step 5: Solve for x
    x = 483,941.04/757.60
  6. Step 6: Final answer
    x = 638.78

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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.