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Finding the Fourth Proportional to 516.01, 711.87 and 360.85

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Solution

The fourth proportional to 516.01, 711.87 and 360.85 is: 497.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.01 : 711.87 = 360.85 : x
  2. Step 2: Convert to fraction form
    516.01/711.87 = 360.85/x
  3. Step 3: Cross multiply
    516.01x = 711.87 × 360.85
  4. Step 4: Simplify right side
    516.01x = 256,878.29
  5. Step 5: Solve for x
    x = 256,878.29/516.01
  6. Step 6: Final answer
    x = 497.82

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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.