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Finding the Fourth Proportional to 838.16, 1,157.28 and 721.52

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Solution

The fourth proportional to 838.16, 1,157.28 and 721.52 is: 996.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.16 : 1,157.28 = 721.52 : x
  2. Step 2: Convert to fraction form
    838.16/1,157.28 = 721.52/x
  3. Step 3: Cross multiply
    838.16x = 1,157.28 × 721.52
  4. Step 4: Simplify right side
    838.16x = 835,000.67
  5. Step 5: Solve for x
    x = 835,000.67/838.16
  6. Step 6: Final answer
    x = 996.23

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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.