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Finding the Fourth Proportional to 521.20, 779.52 and 463.81

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Solution

The fourth proportional to 521.20, 779.52 and 463.81 is: 693.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.20 : 779.52 = 463.81 : x
  2. Step 2: Convert to fraction form
    521.20/779.52 = 463.81/x
  3. Step 3: Cross multiply
    521.20x = 779.52 × 463.81
  4. Step 4: Simplify right side
    521.20x = 361,549.17
  5. Step 5: Solve for x
    x = 361,549.17/521.20
  6. Step 6: Final answer
    x = 693.69

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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.