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Finding the Fourth Proportional to 508.24, 758.92 and 398.80

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Solution

The fourth proportional to 508.24, 758.92 and 398.80 is: 595.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.24 : 758.92 = 398.80 : x
  2. Step 2: Convert to fraction form
    508.24/758.92 = 398.80/x
  3. Step 3: Cross multiply
    508.24x = 758.92 × 398.80
  4. Step 4: Simplify right side
    508.24x = 302,657.30
  5. Step 5: Solve for x
    x = 302,657.30/508.24
  6. Step 6: Final answer
    x = 595.50

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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.