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Finding the Fourth Proportional to 508.59, 762.77 and 143.42

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Solution

The fourth proportional to 508.59, 762.77 and 143.42 is: 215.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.59 : 762.77 = 143.42 : x
  2. Step 2: Convert to fraction form
    508.59/762.77 = 143.42/x
  3. Step 3: Cross multiply
    508.59x = 762.77 × 143.42
  4. Step 4: Simplify right side
    508.59x = 109,393.02
  5. Step 5: Solve for x
    x = 109,393.02/508.59
  6. Step 6: Final answer
    x = 215.09

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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.