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Finding the Fourth Proportional to 521.24, 781.17 and 336.08

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Solution

The fourth proportional to 521.24, 781.17 and 336.08 is: 503.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.24 : 781.17 = 336.08 : x
  2. Step 2: Convert to fraction form
    521.24/781.17 = 336.08/x
  3. Step 3: Cross multiply
    521.24x = 781.17 × 336.08
  4. Step 4: Simplify right side
    521.24x = 262,535.60
  5. Step 5: Solve for x
    x = 262,535.60/521.24
  6. Step 6: Final answer
    x = 503.68

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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.