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Finding the Fourth Proportional to 638.34, 880.14 and 469.53

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Solution

The fourth proportional to 638.34, 880.14 and 469.53 is: 647.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.34 : 880.14 = 469.53 : x
  2. Step 2: Convert to fraction form
    638.34/880.14 = 469.53/x
  3. Step 3: Cross multiply
    638.34x = 880.14 × 469.53
  4. Step 4: Simplify right side
    638.34x = 413,252.13
  5. Step 5: Solve for x
    x = 413,252.13/638.34
  6. Step 6: Final answer
    x = 647.39

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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.