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Finding the Fourth Proportional to 722.88, 1,079.52 and 685.44

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Solution

The fourth proportional to 722.88, 1,079.52 and 685.44 is: 1,023.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.88 : 1,079.52 = 685.44 : x
  2. Step 2: Convert to fraction form
    722.88/1,079.52 = 685.44/x
  3. Step 3: Cross multiply
    722.88x = 1,079.52 × 685.44
  4. Step 4: Simplify right side
    722.88x = 739,946.19
  5. Step 5: Solve for x
    x = 739,946.19/722.88
  6. Step 6: Final answer
    x = 1,023.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.