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Finding the Fourth Proportional to 590.71, 813.99 and 501.91

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Solution

The fourth proportional to 590.71, 813.99 and 501.91 is: 691.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.71 : 813.99 = 501.91 : x
  2. Step 2: Convert to fraction form
    590.71/813.99 = 501.91/x
  3. Step 3: Cross multiply
    590.71x = 813.99 × 501.91
  4. Step 4: Simplify right side
    590.71x = 408,549.72
  5. Step 5: Solve for x
    x = 408,549.72/590.71
  6. Step 6: Final answer
    x = 691.62

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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.