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Finding the Fourth Proportional to 1,083.41, 1,625.85 and 672.77

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Solution

The fourth proportional to 1,083.41, 1,625.85 and 672.77 is: 1,009.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.41 : 1,625.85 = 672.77 : x
  2. Step 2: Convert to fraction form
    1,083.41/1,625.85 = 672.77/x
  3. Step 3: Cross multiply
    1,083.41x = 1,625.85 × 672.77
  4. Step 4: Simplify right side
    1,083.41x = 1,093,823.10
  5. Step 5: Solve for x
    x = 1,093,823.10/1,083.41
  6. Step 6: Final answer
    x = 1,009.61

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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.