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Finding the Fourth Proportional to 1,072.16, 1,479.60 and 722.24

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Solution

The fourth proportional to 1,072.16, 1,479.60 and 722.24 is: 996.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.16 : 1,479.60 = 722.24 : x
  2. Step 2: Convert to fraction form
    1,072.16/1,479.60 = 722.24/x
  3. Step 3: Cross multiply
    1,072.16x = 1,479.60 × 722.24
  4. Step 4: Simplify right side
    1,072.16x = 1,068,626.30
  5. Step 5: Solve for x
    x = 1,068,626.30/1,072.16
  6. Step 6: Final answer
    x = 996.70

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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.