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Finding the Fourth Proportional to 507.75, 761.66 and 142.57

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Solution

The fourth proportional to 507.75, 761.66 and 142.57 is: 213.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.75 : 761.66 = 142.57 : x
  2. Step 2: Convert to fraction form
    507.75/761.66 = 142.57/x
  3. Step 3: Cross multiply
    507.75x = 761.66 × 142.57
  4. Step 4: Simplify right side
    507.75x = 108,587.25
  5. Step 5: Solve for x
    x = 108,587.25/507.75
  6. Step 6: Final answer
    x = 213.86

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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.