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Finding the Fourth Proportional to 500.73, 691.07 and 301.61

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Solution

The fourth proportional to 500.73, 691.07 and 301.61 is: 416.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.73 : 691.07 = 301.61 : x
  2. Step 2: Convert to fraction form
    500.73/691.07 = 301.61/x
  3. Step 3: Cross multiply
    500.73x = 691.07 × 301.61
  4. Step 4: Simplify right side
    500.73x = 208,428.66
  5. Step 5: Solve for x
    x = 208,428.66/500.73
  6. Step 6: Final answer
    x = 416.25

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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.