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Finding the Fourth Proportional to 581.76, 869.31 and 442.17

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Solution

The fourth proportional to 581.76, 869.31 and 442.17 is: 660.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.76 : 869.31 = 442.17 : x
  2. Step 2: Convert to fraction form
    581.76/869.31 = 442.17/x
  3. Step 3: Cross multiply
    581.76x = 869.31 × 442.17
  4. Step 4: Simplify right side
    581.76x = 384,381.91
  5. Step 5: Solve for x
    x = 384,381.91/581.76
  6. Step 6: Final answer
    x = 660.73

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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.