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Finding the Fourth Proportional to 1,241.78, 1,858.56 and 752.45

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Solution

The fourth proportional to 1,241.78, 1,858.56 and 752.45 is: 1,126.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.78 : 1,858.56 = 752.45 : x
  2. Step 2: Convert to fraction form
    1,241.78/1,858.56 = 752.45/x
  3. Step 3: Cross multiply
    1,241.78x = 1,858.56 × 752.45
  4. Step 4: Simplify right side
    1,241.78x = 1,398,464.18
  5. Step 5: Solve for x
    x = 1,398,464.18/1,241.78
  6. Step 6: Final answer
    x = 1,126.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.