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Finding the Fourth Proportional to 724.65, 1,086.72 and 313.57

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Solution

The fourth proportional to 724.65, 1,086.72 and 313.57 is: 470.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.65 : 1,086.72 = 313.57 : x
  2. Step 2: Convert to fraction form
    724.65/1,086.72 = 313.57/x
  3. Step 3: Cross multiply
    724.65x = 1,086.72 × 313.57
  4. Step 4: Simplify right side
    724.65x = 340,762.97
  5. Step 5: Solve for x
    x = 340,762.97/724.65
  6. Step 6: Final answer
    x = 470.25

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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.