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Finding the Fourth Proportional to 590.30, 812.79 and 516.18

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Solution

The fourth proportional to 590.30, 812.79 and 516.18 is: 710.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.30 : 812.79 = 516.18 : x
  2. Step 2: Convert to fraction form
    590.30/812.79 = 516.18/x
  3. Step 3: Cross multiply
    590.30x = 812.79 × 516.18
  4. Step 4: Simplify right side
    590.30x = 419,545.94
  5. Step 5: Solve for x
    x = 419,545.94/590.30
  6. Step 6: Final answer
    x = 710.74

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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.