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Finding the Fourth Proportional to 1,159.82, 1,600.49 and 635.84

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Solution

The fourth proportional to 1,159.82, 1,600.49 and 635.84 is: 877.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.82 : 1,600.49 = 635.84 : x
  2. Step 2: Convert to fraction form
    1,159.82/1,600.49 = 635.84/x
  3. Step 3: Cross multiply
    1,159.82x = 1,600.49 × 635.84
  4. Step 4: Simplify right side
    1,159.82x = 1,017,649.15
  5. Step 5: Solve for x
    x = 1,017,649.15/1,159.82
  6. Step 6: Final answer
    x = 877.42

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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.