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Finding the Fourth Proportional to 486.70, 733.95 and 480.20

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Solution

The fourth proportional to 486.70, 733.95 and 480.20 is: 724.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.70 : 733.95 = 480.20 : x
  2. Step 2: Convert to fraction form
    486.70/733.95 = 480.20/x
  3. Step 3: Cross multiply
    486.70x = 733.95 × 480.20
  4. Step 4: Simplify right side
    486.70x = 352,442.79
  5. Step 5: Solve for x
    x = 352,442.79/486.70
  6. Step 6: Final answer
    x = 724.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.