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Finding the Fourth Proportional to 888.61, 1,331.32 and 523.20

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Solution

The fourth proportional to 888.61, 1,331.32 and 523.20 is: 783.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.61 : 1,331.32 = 523.20 : x
  2. Step 2: Convert to fraction form
    888.61/1,331.32 = 523.20/x
  3. Step 3: Cross multiply
    888.61x = 1,331.32 × 523.20
  4. Step 4: Simplify right side
    888.61x = 696,545.32
  5. Step 5: Solve for x
    x = 696,545.32/888.61
  6. Step 6: Final answer
    x = 783.86

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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.