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Finding the Fourth Proportional to 635.28, 877.52 and 489.72

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Solution

The fourth proportional to 635.28, 877.52 and 489.72 is: 676.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.28 : 877.52 = 489.72 : x
  2. Step 2: Convert to fraction form
    635.28/877.52 = 489.72/x
  3. Step 3: Cross multiply
    635.28x = 877.52 × 489.72
  4. Step 4: Simplify right side
    635.28x = 429,739.09
  5. Step 5: Solve for x
    x = 429,739.09/635.28
  6. Step 6: Final answer
    x = 676.46

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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.