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Finding the Fourth Proportional to 637.38, 879.66 and 469.40

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Solution

The fourth proportional to 637.38, 879.66 and 469.40 is: 647.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.38 : 879.66 = 469.40 : x
  2. Step 2: Convert to fraction form
    637.38/879.66 = 469.40/x
  3. Step 3: Cross multiply
    637.38x = 879.66 × 469.40
  4. Step 4: Simplify right side
    637.38x = 412,908.01
  5. Step 5: Solve for x
    x = 412,908.01/637.38
  6. Step 6: Final answer
    x = 647.82

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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.