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Finding the Fourth Proportional to 1,071.02, 1,478.45 and 677.97

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Solution

The fourth proportional to 1,071.02, 1,478.45 and 677.97 is: 935.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.02 : 1,478.45 = 677.97 : x
  2. Step 2: Convert to fraction form
    1,071.02/1,478.45 = 677.97/x
  3. Step 3: Cross multiply
    1,071.02x = 1,478.45 × 677.97
  4. Step 4: Simplify right side
    1,071.02x = 1,002,346.44
  5. Step 5: Solve for x
    x = 1,002,346.44/1,071.02
  6. Step 6: Final answer
    x = 935.88

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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.