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Finding the Fourth Proportional to 746.59, 1,120.08 and 438.71

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Solution

The fourth proportional to 746.59, 1,120.08 and 438.71 is: 658.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.59 : 1,120.08 = 438.71 : x
  2. Step 2: Convert to fraction form
    746.59/1,120.08 = 438.71/x
  3. Step 3: Cross multiply
    746.59x = 1,120.08 × 438.71
  4. Step 4: Simplify right side
    746.59x = 491,383.05
  5. Step 5: Solve for x
    x = 491,383.05/746.59
  6. Step 6: Final answer
    x = 658.17

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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.