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Finding the Fourth Proportional to 581.16, 871.12 and 426.85

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Solution

The fourth proportional to 581.16, 871.12 and 426.85 is: 639.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.16 : 871.12 = 426.85 : x
  2. Step 2: Convert to fraction form
    581.16/871.12 = 426.85/x
  3. Step 3: Cross multiply
    581.16x = 871.12 × 426.85
  4. Step 4: Simplify right side
    581.16x = 371,837.57
  5. Step 5: Solve for x
    x = 371,837.57/581.16
  6. Step 6: Final answer
    x = 639.82

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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.