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Finding the Fourth Proportional to 973.24, 1,343.28 and 721.96

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Solution

The fourth proportional to 973.24, 1,343.28 and 721.96 is: 996.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.24 : 1,343.28 = 721.96 : x
  2. Step 2: Convert to fraction form
    973.24/1,343.28 = 721.96/x
  3. Step 3: Cross multiply
    973.24x = 1,343.28 × 721.96
  4. Step 4: Simplify right side
    973.24x = 969,794.43
  5. Step 5: Solve for x
    x = 969,794.43/973.24
  6. Step 6: Final answer
    x = 996.46

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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.