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Finding the Fourth Proportional to 585.76, 882.11 and 424.57

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Solution

The fourth proportional to 585.76, 882.11 and 424.57 is: 639.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.76 : 882.11 = 424.57 : x
  2. Step 2: Convert to fraction form
    585.76/882.11 = 424.57/x
  3. Step 3: Cross multiply
    585.76x = 882.11 × 424.57
  4. Step 4: Simplify right side
    585.76x = 374,517.44
  5. Step 5: Solve for x
    x = 374,517.44/585.76
  6. Step 6: Final answer
    x = 639.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.