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Finding the Fourth Proportional to 1,147.76, 1,721.64 and 498.47

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Solution

The fourth proportional to 1,147.76, 1,721.64 and 498.47 is: 747.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.76 : 1,721.64 = 498.47 : x
  2. Step 2: Convert to fraction form
    1,147.76/1,721.64 = 498.47/x
  3. Step 3: Cross multiply
    1,147.76x = 1,721.64 × 498.47
  4. Step 4: Simplify right side
    1,147.76x = 858,177.28
  5. Step 5: Solve for x
    x = 858,177.28/1,147.76
  6. Step 6: Final answer
    x = 747.70

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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.