Home / 1,042.30-1,562.32-677.35

Finding the Fourth Proportional to 1,042.30, 1,562.32 and 677.35

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Solution

The fourth proportional to 1,042.30, 1,562.32 and 677.35 is: 1,015.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.30 : 1,562.32 = 677.35 : x
  2. Step 2: Convert to fraction form
    1,042.30/1,562.32 = 677.35/x
  3. Step 3: Cross multiply
    1,042.30x = 1,562.32 × 677.35
  4. Step 4: Simplify right side
    1,042.30x = 1,058,234.39
  5. Step 5: Solve for x
    x = 1,058,234.39/1,042.30
  6. Step 6: Final answer
    x = 1,015.29

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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.