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Finding the Fourth Proportional to 765.38, 1,054.99 and 516.62

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Solution

The fourth proportional to 765.38, 1,054.99 and 516.62 is: 712.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.38 : 1,054.99 = 516.62 : x
  2. Step 2: Convert to fraction form
    765.38/1,054.99 = 516.62/x
  3. Step 3: Cross multiply
    765.38x = 1,054.99 × 516.62
  4. Step 4: Simplify right side
    765.38x = 545,028.93
  5. Step 5: Solve for x
    x = 545,028.93/765.38
  6. Step 6: Final answer
    x = 712.10

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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.