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Finding the Fourth Proportional to 724.30, 1,086.54 and 313.54

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Solution

The fourth proportional to 724.30, 1,086.54 and 313.54 is: 470.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.30 : 1,086.54 = 313.54 : x
  2. Step 2: Convert to fraction form
    724.30/1,086.54 = 313.54/x
  3. Step 3: Cross multiply
    724.30x = 1,086.54 × 313.54
  4. Step 4: Simplify right side
    724.30x = 340,673.75
  5. Step 5: Solve for x
    x = 340,673.75/724.30
  6. Step 6: Final answer
    x = 470.35

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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.