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Finding the Fourth Proportional to 724.04, 1,086.36 and 312.96

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Solution

The fourth proportional to 724.04, 1,086.36 and 312.96 is: 469.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.04 : 1,086.36 = 312.96 : x
  2. Step 2: Convert to fraction form
    724.04/1,086.36 = 312.96/x
  3. Step 3: Cross multiply
    724.04x = 1,086.36 × 312.96
  4. Step 4: Simplify right side
    724.04x = 339,985.66
  5. Step 5: Solve for x
    x = 339,985.66/724.04
  6. Step 6: Final answer
    x = 469.57

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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.