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Finding the Fourth Proportional to 1,147.70, 1,718.82 and 1,090.31

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Solution

The fourth proportional to 1,147.70, 1,718.82 and 1,090.31 is: 1,632.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.70 : 1,718.82 = 1,090.31 : x
  2. Step 2: Convert to fraction form
    1,147.70/1,718.82 = 1,090.31/x
  3. Step 3: Cross multiply
    1,147.70x = 1,718.82 × 1,090.31
  4. Step 4: Simplify right side
    1,147.70x = 1,874,046.63
  5. Step 5: Solve for x
    x = 1,874,046.63/1,147.70
  6. Step 6: Final answer
    x = 1,632.87

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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.