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Finding the Fourth Proportional to 1,166.98, 1,610.41 and 635.84

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Solution

The fourth proportional to 1,166.98, 1,610.41 and 635.84 is: 877.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.98 : 1,610.41 = 635.84 : x
  2. Step 2: Convert to fraction form
    1,166.98/1,610.41 = 635.84/x
  3. Step 3: Cross multiply
    1,166.98x = 1,610.41 × 635.84
  4. Step 4: Simplify right side
    1,166.98x = 1,023,963.09
  5. Step 5: Solve for x
    x = 1,023,963.09/1,166.98
  6. Step 6: Final answer
    x = 877.45

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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.