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Finding the Fourth Proportional to 765.81, 1,055.30 and 532.53

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Solution

The fourth proportional to 765.81, 1,055.30 and 532.53 is: 733.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.81 : 1,055.30 = 532.53 : x
  2. Step 2: Convert to fraction form
    765.81/1,055.30 = 532.53/x
  3. Step 3: Cross multiply
    765.81x = 1,055.30 × 532.53
  4. Step 4: Simplify right side
    765.81x = 561,976.25
  5. Step 5: Solve for x
    x = 561,976.25/765.81
  6. Step 6: Final answer
    x = 733.83

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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.