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Finding the Fourth Proportional to 482.57, 724.14 and 263.20

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Solution

The fourth proportional to 482.57, 724.14 and 263.20 is: 394.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.57 : 724.14 = 263.20 : x
  2. Step 2: Convert to fraction form
    482.57/724.14 = 263.20/x
  3. Step 3: Cross multiply
    482.57x = 724.14 × 263.20
  4. Step 4: Simplify right side
    482.57x = 190,590.03
  5. Step 5: Solve for x
    x = 190,590.03/482.57
  6. Step 6: Final answer
    x = 394.95

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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.