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Finding the Fourth Proportional to 486.06, 724.02 and 485.14

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Solution

The fourth proportional to 486.06, 724.02 and 485.14 is: 722.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.06 : 724.02 = 485.14 : x
  2. Step 2: Convert to fraction form
    486.06/724.02 = 485.14/x
  3. Step 3: Cross multiply
    486.06x = 724.02 × 485.14
  4. Step 4: Simplify right side
    486.06x = 351,251.06
  5. Step 5: Solve for x
    x = 351,251.06/486.06
  6. Step 6: Final answer
    x = 722.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.