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Finding the Fourth Proportional to 638.42, 881.08 and 417.49

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Solution

The fourth proportional to 638.42, 881.08 and 417.49 is: 576.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.42 : 881.08 = 417.49 : x
  2. Step 2: Convert to fraction form
    638.42/881.08 = 417.49/x
  3. Step 3: Cross multiply
    638.42x = 881.08 × 417.49
  4. Step 4: Simplify right side
    638.42x = 367,838.84
  5. Step 5: Solve for x
    x = 367,838.84/638.42
  6. Step 6: Final answer
    x = 576.18

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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.