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Finding the Fourth Proportional to 724.19, 1,086.34 and 313.22

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Solution

The fourth proportional to 724.19, 1,086.34 and 313.22 is: 469.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.19 : 1,086.34 = 313.22 : x
  2. Step 2: Convert to fraction form
    724.19/1,086.34 = 313.22/x
  3. Step 3: Cross multiply
    724.19x = 1,086.34 × 313.22
  4. Step 4: Simplify right side
    724.19x = 340,263.41
  5. Step 5: Solve for x
    x = 340,263.41/724.19
  6. Step 6: Final answer
    x = 469.85

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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.