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Finding the Fourth Proportional to 1,047.41, 1,577.25 and 775.43

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Solution

The fourth proportional to 1,047.41, 1,577.25 and 775.43 is: 1,167.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.41 : 1,577.25 = 775.43 : x
  2. Step 2: Convert to fraction form
    1,047.41/1,577.25 = 775.43/x
  3. Step 3: Cross multiply
    1,047.41x = 1,577.25 × 775.43
  4. Step 4: Simplify right side
    1,047.41x = 1,223,046.97
  5. Step 5: Solve for x
    x = 1,223,046.97/1,047.41
  6. Step 6: Final answer
    x = 1,167.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.