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Finding the Fourth Proportional to 1,053.97, 1,581.20 and 746.42

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Solution

The fourth proportional to 1,053.97, 1,581.20 and 746.42 is: 1,119.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.97 : 1,581.20 = 746.42 : x
  2. Step 2: Convert to fraction form
    1,053.97/1,581.20 = 746.42/x
  3. Step 3: Cross multiply
    1,053.97x = 1,581.20 × 746.42
  4. Step 4: Simplify right side
    1,053.97x = 1,180,239.30
  5. Step 5: Solve for x
    x = 1,180,239.30/1,053.97
  6. Step 6: Final answer
    x = 1,119.80

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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.