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Finding the Fourth Proportional to 563.37, 840.18 and 516.12

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Solution

The fourth proportional to 563.37, 840.18 and 516.12 is: 769.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.37 : 840.18 = 516.12 : x
  2. Step 2: Convert to fraction form
    563.37/840.18 = 516.12/x
  3. Step 3: Cross multiply
    563.37x = 840.18 × 516.12
  4. Step 4: Simplify right side
    563.37x = 433,633.70
  5. Step 5: Solve for x
    x = 433,633.70/563.37
  6. Step 6: Final answer
    x = 769.71

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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.