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Finding the Fourth Proportional to 1,079.26, 1,489.38 and 613.60

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Solution

The fourth proportional to 1,079.26, 1,489.38 and 613.60 is: 846.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.26 : 1,489.38 = 613.60 : x
  2. Step 2: Convert to fraction form
    1,079.26/1,489.38 = 613.60/x
  3. Step 3: Cross multiply
    1,079.26x = 1,489.38 × 613.60
  4. Step 4: Simplify right side
    1,079.26x = 913,883.57
  5. Step 5: Solve for x
    x = 913,883.57/1,079.26
  6. Step 6: Final answer
    x = 846.77

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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.