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Finding the Fourth Proportional to 844.74, 1,165.42 and 624.22

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Solution

The fourth proportional to 844.74, 1,165.42 and 624.22 is: 861.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.74 : 1,165.42 = 624.22 : x
  2. Step 2: Convert to fraction form
    844.74/1,165.42 = 624.22/x
  3. Step 3: Cross multiply
    844.74x = 1,165.42 × 624.22
  4. Step 4: Simplify right side
    844.74x = 727,478.47
  5. Step 5: Solve for x
    x = 727,478.47/844.74
  6. Step 6: Final answer
    x = 861.19

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Double scale
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1.5x scale

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.