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Finding the Fourth Proportional to 874.46, 1,305.29 and 801.43

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Solution

The fourth proportional to 874.46, 1,305.29 and 801.43 is: 1,196.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.46 : 1,305.29 = 801.43 : x
  2. Step 2: Convert to fraction form
    874.46/1,305.29 = 801.43/x
  3. Step 3: Cross multiply
    874.46x = 1,305.29 × 801.43
  4. Step 4: Simplify right side
    874.46x = 1,046,097.31
  5. Step 5: Solve for x
    x = 1,046,097.31/874.46
  6. Step 6: Final answer
    x = 1,196.27

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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.