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Finding the Fourth Proportional to 521.38, 787.99 and 512.42

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Solution

The fourth proportional to 521.38, 787.99 and 512.42 is: 774.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.38 : 787.99 = 512.42 : x
  2. Step 2: Convert to fraction form
    521.38/787.99 = 512.42/x
  3. Step 3: Cross multiply
    521.38x = 787.99 × 512.42
  4. Step 4: Simplify right side
    521.38x = 403,781.84
  5. Step 5: Solve for x
    x = 403,781.84/521.38
  6. Step 6: Final answer
    x = 774.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.