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Finding the Fourth Proportional to 844.95, 1,166.18 and 624.54

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Solution

The fourth proportional to 844.95, 1,166.18 and 624.54 is: 861.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.95 : 1,166.18 = 624.54 : x
  2. Step 2: Convert to fraction form
    844.95/1,166.18 = 624.54/x
  3. Step 3: Cross multiply
    844.95x = 1,166.18 × 624.54
  4. Step 4: Simplify right side
    844.95x = 728,326.06
  5. Step 5: Solve for x
    x = 728,326.06/844.95
  6. Step 6: Final answer
    x = 861.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.