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Finding the Fourth Proportional to 824.22, 1,135.13 and 762.66

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Solution

The fourth proportional to 824.22, 1,135.13 and 762.66 is: 1,050.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.22 : 1,135.13 = 762.66 : x
  2. Step 2: Convert to fraction form
    824.22/1,135.13 = 762.66/x
  3. Step 3: Cross multiply
    824.22x = 1,135.13 × 762.66
  4. Step 4: Simplify right side
    824.22x = 865,718.25
  5. Step 5: Solve for x
    x = 865,718.25/824.22
  6. Step 6: Final answer
    x = 1,050.35

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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.