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Finding the Fourth Proportional to 824.85, 1,228.97 and 812.97

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Solution

The fourth proportional to 824.85, 1,228.97 and 812.97 is: 1,211.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.85 : 1,228.97 = 812.97 : x
  2. Step 2: Convert to fraction form
    824.85/1,228.97 = 812.97/x
  3. Step 3: Cross multiply
    824.85x = 1,228.97 × 812.97
  4. Step 4: Simplify right side
    824.85x = 999,115.74
  5. Step 5: Solve for x
    x = 999,115.74/824.85
  6. Step 6: Final answer
    x = 1,211.27

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1.5x scale

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.