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Finding the Fourth Proportional to 1,079.94, 1,490.46 and 748.20

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Solution

The fourth proportional to 1,079.94, 1,490.46 and 748.20 is: 1,032.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.94 : 1,490.46 = 748.20 : x
  2. Step 2: Convert to fraction form
    1,079.94/1,490.46 = 748.20/x
  3. Step 3: Cross multiply
    1,079.94x = 1,490.46 × 748.20
  4. Step 4: Simplify right side
    1,079.94x = 1,115,162.17
  5. Step 5: Solve for x
    x = 1,115,162.17/1,079.94
  6. Step 6: Final answer
    x = 1,032.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.