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Finding the Fourth Proportional to 765.47, 1,147.30 and 354.23

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Solution

The fourth proportional to 765.47, 1,147.30 and 354.23 is: 530.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.47 : 1,147.30 = 354.23 : x
  2. Step 2: Convert to fraction form
    765.47/1,147.30 = 354.23/x
  3. Step 3: Cross multiply
    765.47x = 1,147.30 × 354.23
  4. Step 4: Simplify right side
    765.47x = 406,401.46
  5. Step 5: Solve for x
    x = 406,401.46/765.47
  6. Step 6: Final answer
    x = 530.92

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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.