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Finding the Fourth Proportional to 765.80, 1,146.88 and 545.72

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Solution

The fourth proportional to 765.80, 1,146.88 and 545.72 is: 817.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.80 : 1,146.88 = 545.72 : x
  2. Step 2: Convert to fraction form
    765.80/1,146.88 = 545.72/x
  3. Step 3: Cross multiply
    765.80x = 1,146.88 × 545.72
  4. Step 4: Simplify right side
    765.80x = 625,875.35
  5. Step 5: Solve for x
    x = 625,875.35/765.80
  6. Step 6: Final answer
    x = 817.28

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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.