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Finding the Fourth Proportional to 1,166.95, 1,610.39 and 635.83

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Solution

The fourth proportional to 1,166.95, 1,610.39 and 635.83 is: 877.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.95 : 1,610.39 = 635.83 : x
  2. Step 2: Convert to fraction form
    1,166.95/1,610.39 = 635.83/x
  3. Step 3: Cross multiply
    1,166.95x = 1,610.39 × 635.83
  4. Step 4: Simplify right side
    1,166.95x = 1,023,934.27
  5. Step 5: Solve for x
    x = 1,023,934.27/1,166.95
  6. Step 6: Final answer
    x = 877.44

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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.