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Finding the Fourth Proportional to 894.96, 1,229.40 and 812.34

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Solution

The fourth proportional to 894.96, 1,229.40 and 812.34 is: 1,115.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.96 : 1,229.40 = 812.34 : x
  2. Step 2: Convert to fraction form
    894.96/1,229.40 = 812.34/x
  3. Step 3: Cross multiply
    894.96x = 1,229.40 × 812.34
  4. Step 4: Simplify right side
    894.96x = 998,690.80
  5. Step 5: Solve for x
    x = 998,690.80/894.96
  6. Step 6: Final answer
    x = 1,115.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.