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Finding the Fourth Proportional to 748.64, 1,034.40 and 722.36

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Solution

The fourth proportional to 748.64, 1,034.40 and 722.36 is: 998.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.64 : 1,034.40 = 722.36 : x
  2. Step 2: Convert to fraction form
    748.64/1,034.40 = 722.36/x
  3. Step 3: Cross multiply
    748.64x = 1,034.40 × 722.36
  4. Step 4: Simplify right side
    748.64x = 747,209.18
  5. Step 5: Solve for x
    x = 747,209.18/748.64
  6. Step 6: Final answer
    x = 998.09

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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.