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Finding the Fourth Proportional to 722.32, 1,081.84 and 515.76

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Solution

The fourth proportional to 722.32, 1,081.84 and 515.76 is: 772.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.32 : 1,081.84 = 515.76 : x
  2. Step 2: Convert to fraction form
    722.32/1,081.84 = 515.76/x
  3. Step 3: Cross multiply
    722.32x = 1,081.84 × 515.76
  4. Step 4: Simplify right side
    722.32x = 557,969.80
  5. Step 5: Solve for x
    x = 557,969.80/722.32
  6. Step 6: Final answer
    x = 772.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.