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Finding the Fourth Proportional to 765.64, 1,147.50 and 457.72

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Solution

The fourth proportional to 765.64, 1,147.50 and 457.72 is: 686.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.64 : 1,147.50 = 457.72 : x
  2. Step 2: Convert to fraction form
    765.64/1,147.50 = 457.72/x
  3. Step 3: Cross multiply
    765.64x = 1,147.50 × 457.72
  4. Step 4: Simplify right side
    765.64x = 525,233.70
  5. Step 5: Solve for x
    x = 525,233.70/765.64
  6. Step 6: Final answer
    x = 686.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.