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Finding the Fourth Proportional to 560.10, 834.86 and 516.36

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Solution

The fourth proportional to 560.10, 834.86 and 516.36 is: 769.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.10 : 834.86 = 516.36 : x
  2. Step 2: Convert to fraction form
    560.10/834.86 = 516.36/x
  3. Step 3: Cross multiply
    560.10x = 834.86 × 516.36
  4. Step 4: Simplify right side
    560.10x = 431,088.31
  5. Step 5: Solve for x
    x = 431,088.31/560.10
  6. Step 6: Final answer
    x = 769.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.