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Finding the Fourth Proportional to 1,065.73, 1,471.43 and 667.55

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Solution

The fourth proportional to 1,065.73, 1,471.43 and 667.55 is: 921.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.73 : 1,471.43 = 667.55 : x
  2. Step 2: Convert to fraction form
    1,065.73/1,471.43 = 667.55/x
  3. Step 3: Cross multiply
    1,065.73x = 1,471.43 × 667.55
  4. Step 4: Simplify right side
    1,065.73x = 982,254.31
  5. Step 5: Solve for x
    x = 982,254.31/1,065.73
  6. Step 6: Final answer
    x = 921.68

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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.