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Finding the Fourth Proportional to 590.92, 881.33 and 581.20

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Solution

The fourth proportional to 590.92, 881.33 and 581.20 is: 866.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.92 : 881.33 = 581.20 : x
  2. Step 2: Convert to fraction form
    590.92/881.33 = 581.20/x
  3. Step 3: Cross multiply
    590.92x = 881.33 × 581.20
  4. Step 4: Simplify right side
    590.92x = 512,229.00
  5. Step 5: Solve for x
    x = 512,229.00/590.92
  6. Step 6: Final answer
    x = 866.83

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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.