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Finding the Fourth Proportional to 1,079.62, 1,489.70 and 607.42

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Solution

The fourth proportional to 1,079.62, 1,489.70 and 607.42 is: 838.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.62 : 1,489.70 = 607.42 : x
  2. Step 2: Convert to fraction form
    1,079.62/1,489.70 = 607.42/x
  3. Step 3: Cross multiply
    1,079.62x = 1,489.70 × 607.42
  4. Step 4: Simplify right side
    1,079.62x = 904,873.57
  5. Step 5: Solve for x
    x = 904,873.57/1,079.62
  6. Step 6: Final answer
    x = 838.14

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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.