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Finding the Fourth Proportional to 507.91, 761.78 and 142.61

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Solution

The fourth proportional to 507.91, 761.78 and 142.61 is: 213.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.91 : 761.78 = 142.61 : x
  2. Step 2: Convert to fraction form
    507.91/761.78 = 142.61/x
  3. Step 3: Cross multiply
    507.91x = 761.78 × 142.61
  4. Step 4: Simplify right side
    507.91x = 108,637.45
  5. Step 5: Solve for x
    x = 108,637.45/507.91
  6. Step 6: Final answer
    x = 213.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.