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Finding the Fourth Proportional to 562.23, 839.61 and 480.15

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Solution

The fourth proportional to 562.23, 839.61 and 480.15 is: 717.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.23 : 839.61 = 480.15 : x
  2. Step 2: Convert to fraction form
    562.23/839.61 = 480.15/x
  3. Step 3: Cross multiply
    562.23x = 839.61 × 480.15
  4. Step 4: Simplify right side
    562.23x = 403,138.74
  5. Step 5: Solve for x
    x = 403,138.74/562.23
  6. Step 6: Final answer
    x = 717.04

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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.