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Finding the Fourth Proportional to 765.45, 1,056.25 and 516.68

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Solution

The fourth proportional to 765.45, 1,056.25 and 516.68 is: 712.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.45 : 1,056.25 = 516.68 : x
  2. Step 2: Convert to fraction form
    765.45/1,056.25 = 516.68/x
  3. Step 3: Cross multiply
    765.45x = 1,056.25 × 516.68
  4. Step 4: Simplify right side
    765.45x = 545,743.30
  5. Step 5: Solve for x
    x = 545,743.30/765.45
  6. Step 6: Final answer
    x = 712.97

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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.