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Finding the Fourth Proportional to 874.31, 1,306.41 and 661.84

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Solution

The fourth proportional to 874.31, 1,306.41 and 661.84 is: 988.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.31 : 1,306.41 = 661.84 : x
  2. Step 2: Convert to fraction form
    874.31/1,306.41 = 661.84/x
  3. Step 3: Cross multiply
    874.31x = 1,306.41 × 661.84
  4. Step 4: Simplify right side
    874.31x = 864,634.39
  5. Step 5: Solve for x
    x = 864,634.39/874.31
  6. Step 6: Final answer
    x = 988.93

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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.