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Finding the Fourth Proportional to 765.63, 1,055.34 and 516.87

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Solution

The fourth proportional to 765.63, 1,055.34 and 516.87 is: 712.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.63 : 1,055.34 = 516.87 : x
  2. Step 2: Convert to fraction form
    765.63/1,055.34 = 516.87/x
  3. Step 3: Cross multiply
    765.63x = 1,055.34 × 516.87
  4. Step 4: Simplify right side
    765.63x = 545,473.59
  5. Step 5: Solve for x
    x = 545,473.59/765.63
  6. Step 6: Final answer
    x = 712.45

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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.