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Finding the Fourth Proportional to 485.62, 724.19 and 452.81

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Solution

The fourth proportional to 485.62, 724.19 and 452.81 is: 675.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.62 : 724.19 = 452.81 : x
  2. Step 2: Convert to fraction form
    485.62/724.19 = 452.81/x
  3. Step 3: Cross multiply
    485.62x = 724.19 × 452.81
  4. Step 4: Simplify right side
    485.62x = 327,920.02
  5. Step 5: Solve for x
    x = 327,920.02/485.62
  6. Step 6: Final answer
    x = 675.26

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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.