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Finding the Fourth Proportional to 724.14, 1,085.12 and 670.14

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Solution

The fourth proportional to 724.14, 1,085.12 and 670.14 is: 1,004.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.14 : 1,085.12 = 670.14 : x
  2. Step 2: Convert to fraction form
    724.14/1,085.12 = 670.14/x
  3. Step 3: Cross multiply
    724.14x = 1,085.12 × 670.14
  4. Step 4: Simplify right side
    724.14x = 727,182.32
  5. Step 5: Solve for x
    x = 727,182.32/724.14
  6. Step 6: Final answer
    x = 1,004.20

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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.