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Finding the Fourth Proportional to 501.31, 691.89 and 370.69

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Solution

The fourth proportional to 501.31, 691.89 and 370.69 is: 511.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.31 : 691.89 = 370.69 : x
  2. Step 2: Convert to fraction form
    501.31/691.89 = 370.69/x
  3. Step 3: Cross multiply
    501.31x = 691.89 × 370.69
  4. Step 4: Simplify right side
    501.31x = 256,476.70
  5. Step 5: Solve for x
    x = 256,476.70/501.31
  6. Step 6: Final answer
    x = 511.61

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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.