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Finding the Fourth Proportional to 1,147.70, 1,722.18 and 498.44

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Solution

The fourth proportional to 1,147.70, 1,722.18 and 498.44 is: 747.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.70 : 1,722.18 = 498.44 : x
  2. Step 2: Convert to fraction form
    1,147.70/1,722.18 = 498.44/x
  3. Step 3: Cross multiply
    1,147.70x = 1,722.18 × 498.44
  4. Step 4: Simplify right side
    1,147.70x = 858,403.40
  5. Step 5: Solve for x
    x = 858,403.40/1,147.70
  6. Step 6: Final answer
    x = 747.93

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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.