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Finding the Fourth Proportional to 1,147.38, 1,721.91 and 888.02

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Solution

The fourth proportional to 1,147.38, 1,721.91 and 888.02 is: 1,332.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.38 : 1,721.91 = 888.02 : x
  2. Step 2: Convert to fraction form
    1,147.38/1,721.91 = 888.02/x
  3. Step 3: Cross multiply
    1,147.38x = 1,721.91 × 888.02
  4. Step 4: Simplify right side
    1,147.38x = 1,529,090.52
  5. Step 5: Solve for x
    x = 1,529,090.52/1,147.38
  6. Step 6: Final answer
    x = 1,332.68

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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.