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Finding the Fourth Proportional to 508.57, 762.75 and 143.26

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Solution

The fourth proportional to 508.57, 762.75 and 143.26 is: 214.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.57 : 762.75 = 143.26 : x
  2. Step 2: Convert to fraction form
    508.57/762.75 = 143.26/x
  3. Step 3: Cross multiply
    508.57x = 762.75 × 143.26
  4. Step 4: Simplify right side
    508.57x = 109,272.52
  5. Step 5: Solve for x
    x = 109,272.52/508.57
  6. Step 6: Final answer
    x = 214.86

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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.