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Finding the Fourth Proportional to 638.50, 881.13 and 417.82

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Solution

The fourth proportional to 638.50, 881.13 and 417.82 is: 576.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.50 : 881.13 = 417.82 : x
  2. Step 2: Convert to fraction form
    638.50/881.13 = 417.82/x
  3. Step 3: Cross multiply
    638.50x = 881.13 × 417.82
  4. Step 4: Simplify right side
    638.50x = 368,153.74
  5. Step 5: Solve for x
    x = 368,153.74/638.50
  6. Step 6: Final answer
    x = 576.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.