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Finding the Fourth Proportional to 1,087.92, 1,631.96 and 438.72

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Solution

The fourth proportional to 1,087.92, 1,631.96 and 438.72 is: 658.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.92 : 1,631.96 = 438.72 : x
  2. Step 2: Convert to fraction form
    1,087.92/1,631.96 = 438.72/x
  3. Step 3: Cross multiply
    1,087.92x = 1,631.96 × 438.72
  4. Step 4: Simplify right side
    1,087.92x = 715,973.49
  5. Step 5: Solve for x
    x = 715,973.49/1,087.92
  6. Step 6: Final answer
    x = 658.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.