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Finding the Fourth Proportional to 1,194.90, 1,648.22 and 747.02

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Solution

The fourth proportional to 1,194.90, 1,648.22 and 747.02 is: 1,030.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.90 : 1,648.22 = 747.02 : x
  2. Step 2: Convert to fraction form
    1,194.90/1,648.22 = 747.02/x
  3. Step 3: Cross multiply
    1,194.90x = 1,648.22 × 747.02
  4. Step 4: Simplify right side
    1,194.90x = 1,231,253.30
  5. Step 5: Solve for x
    x = 1,231,253.30/1,194.90
  6. Step 6: Final answer
    x = 1,030.42

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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.