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Finding the Fourth Proportional to 1,065.78, 1,471.49 and 668.05

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Solution

The fourth proportional to 1,065.78, 1,471.49 and 668.05 is: 922.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.78 : 1,471.49 = 668.05 : x
  2. Step 2: Convert to fraction form
    1,065.78/1,471.49 = 668.05/x
  3. Step 3: Cross multiply
    1,065.78x = 1,471.49 × 668.05
  4. Step 4: Simplify right side
    1,065.78x = 983,028.89
  5. Step 5: Solve for x
    x = 983,028.89/1,065.78
  6. Step 6: Final answer
    x = 922.36

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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.