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Finding the Fourth Proportional to 591.52, 882.20 and 581.80

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Solution

The fourth proportional to 591.52, 882.20 and 581.80 is: 867.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.52 : 882.20 = 581.80 : x
  2. Step 2: Convert to fraction form
    591.52/882.20 = 581.80/x
  3. Step 3: Cross multiply
    591.52x = 882.20 × 581.80
  4. Step 4: Simplify right side
    591.52x = 513,263.96
  5. Step 5: Solve for x
    x = 513,263.96/591.52
  6. Step 6: Final answer
    x = 867.70

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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.