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Finding the Fourth Proportional to 728.64, 1,092.96 and 312.11

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Solution

The fourth proportional to 728.64, 1,092.96 and 312.11 is: 468.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.64 : 1,092.96 = 312.11 : x
  2. Step 2: Convert to fraction form
    728.64/1,092.96 = 312.11/x
  3. Step 3: Cross multiply
    728.64x = 1,092.96 × 312.11
  4. Step 4: Simplify right side
    728.64x = 341,126.48
  5. Step 5: Solve for x
    x = 341,126.48/728.64
  6. Step 6: Final answer
    x = 468.17

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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.