Home / 1,087.44-1,631.52-438.72

Finding the Fourth Proportional to 1,087.44, 1,631.52 and 438.72

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Solution

The fourth proportional to 1,087.44, 1,631.52 and 438.72 is: 658.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.44 : 1,631.52 = 438.72 : x
  2. Step 2: Convert to fraction form
    1,087.44/1,631.52 = 438.72/x
  3. Step 3: Cross multiply
    1,087.44x = 1,631.52 × 438.72
  4. Step 4: Simplify right side
    1,087.44x = 715,780.45
  5. Step 5: Solve for x
    x = 715,780.45/1,087.44
  6. Step 6: Final answer
    x = 658.23

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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.