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Finding the Fourth Proportional to 624.80, 844.20 and 624.80

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Solution

The fourth proportional to 624.80, 844.20 and 624.80 is: 844.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.80 : 844.20 = 624.80 : x
  2. Step 2: Convert to fraction form
    624.80/844.20 = 624.80/x
  3. Step 3: Cross multiply
    624.80x = 844.20 × 624.80
  4. Step 4: Simplify right side
    624.80x = 527,456.16
  5. Step 5: Solve for x
    x = 527,456.16/624.80
  6. Step 6: Final answer
    x = 844.20

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.