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Finding the Fourth Proportional to 664.12, 991.85 and 527.32

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Solution

The fourth proportional to 664.12, 991.85 and 527.32 is: 787.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.12 : 991.85 = 527.32 : x
  2. Step 2: Convert to fraction form
    664.12/991.85 = 527.32/x
  3. Step 3: Cross multiply
    664.12x = 991.85 × 527.32
  4. Step 4: Simplify right side
    664.12x = 523,022.34
  5. Step 5: Solve for x
    x = 523,022.34/664.12
  6. Step 6: Final answer
    x = 787.54

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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.