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Finding the Fourth Proportional to 508.48, 759.04 and 421.76

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Solution

The fourth proportional to 508.48, 759.04 and 421.76 is: 629.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.48 : 759.04 = 421.76 : x
  2. Step 2: Convert to fraction form
    508.48/759.04 = 421.76/x
  3. Step 3: Cross multiply
    508.48x = 759.04 × 421.76
  4. Step 4: Simplify right side
    508.48x = 320,132.71
  5. Step 5: Solve for x
    x = 320,132.71/508.48
  6. Step 6: Final answer
    x = 629.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.