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Finding the Fourth Proportional to 1,109.78, 1,531.42 and 637.60

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Solution

The fourth proportional to 1,109.78, 1,531.42 and 637.60 is: 879.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.78 : 1,531.42 = 637.60 : x
  2. Step 2: Convert to fraction form
    1,109.78/1,531.42 = 637.60/x
  3. Step 3: Cross multiply
    1,109.78x = 1,531.42 × 637.60
  4. Step 4: Simplify right side
    1,109.78x = 976,427.97
  5. Step 5: Solve for x
    x = 976,427.97/1,109.78
  6. Step 6: Final answer
    x = 879.84

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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.