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Finding the Fourth Proportional to 1,065.79, 1,471.51 and 667.61

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Solution

The fourth proportional to 1,065.79, 1,471.51 and 667.61 is: 921.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.79 : 1,471.51 = 667.61 : x
  2. Step 2: Convert to fraction form
    1,065.79/1,471.51 = 667.61/x
  3. Step 3: Cross multiply
    1,065.79x = 1,471.51 × 667.61
  4. Step 4: Simplify right side
    1,065.79x = 982,394.79
  5. Step 5: Solve for x
    x = 982,394.79/1,065.79
  6. Step 6: Final answer
    x = 921.75

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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.