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Finding the Fourth Proportional to 498.57, 744.09 and 485.61

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Solution

The fourth proportional to 498.57, 744.09 and 485.61 is: 724.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.57 : 744.09 = 485.61 : x
  2. Step 2: Convert to fraction form
    498.57/744.09 = 485.61/x
  3. Step 3: Cross multiply
    498.57x = 744.09 × 485.61
  4. Step 4: Simplify right side
    498.57x = 361,337.54
  5. Step 5: Solve for x
    x = 361,337.54/498.57
  6. Step 6: Final answer
    x = 724.75

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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.