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Finding the Fourth Proportional to 1,079.63, 1,489.41 and 748.74

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Solution

The fourth proportional to 1,079.63, 1,489.41 and 748.74 is: 1,032.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.63 : 1,489.41 = 748.74 : x
  2. Step 2: Convert to fraction form
    1,079.63/1,489.41 = 748.74/x
  3. Step 3: Cross multiply
    1,079.63x = 1,489.41 × 748.74
  4. Step 4: Simplify right side
    1,079.63x = 1,115,180.84
  5. Step 5: Solve for x
    x = 1,115,180.84/1,079.63
  6. Step 6: Final answer
    x = 1,032.93

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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.