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Finding the Fourth Proportional to 914.58, 1,261.71 and 635.48

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Solution

The fourth proportional to 914.58, 1,261.71 and 635.48 is: 876.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.58 : 1,261.71 = 635.48 : x
  2. Step 2: Convert to fraction form
    914.58/1,261.71 = 635.48/x
  3. Step 3: Cross multiply
    914.58x = 1,261.71 × 635.48
  4. Step 4: Simplify right side
    914.58x = 801,791.47
  5. Step 5: Solve for x
    x = 801,791.47/914.58
  6. Step 6: Final answer
    x = 876.68

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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.