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Finding the Fourth Proportional to 521.61, 782.64 and 463.97

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Solution

The fourth proportional to 521.61, 782.64 and 463.97 is: 696.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.61 : 782.64 = 463.97 : x
  2. Step 2: Convert to fraction form
    521.61/782.64 = 463.97/x
  3. Step 3: Cross multiply
    521.61x = 782.64 × 463.97
  4. Step 4: Simplify right side
    521.61x = 363,125.18
  5. Step 5: Solve for x
    x = 363,125.18/521.61
  6. Step 6: Final answer
    x = 696.16

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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.