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Finding the Fourth Proportional to 1,042.61, 1,562.79 and 677.66

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Solution

The fourth proportional to 1,042.61, 1,562.79 and 677.66 is: 1,015.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.61 : 1,562.79 = 677.66 : x
  2. Step 2: Convert to fraction form
    1,042.61/1,562.79 = 677.66/x
  3. Step 3: Cross multiply
    1,042.61x = 1,562.79 × 677.66
  4. Step 4: Simplify right side
    1,042.61x = 1,059,040.27
  5. Step 5: Solve for x
    x = 1,059,040.27/1,042.61
  6. Step 6: Final answer
    x = 1,015.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.