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Finding the Fourth Proportional to 1,073.90, 1,481.54 and 700.75

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Solution

The fourth proportional to 1,073.90, 1,481.54 and 700.75 is: 966.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.90 : 1,481.54 = 700.75 : x
  2. Step 2: Convert to fraction form
    1,073.90/1,481.54 = 700.75/x
  3. Step 3: Cross multiply
    1,073.90x = 1,481.54 × 700.75
  4. Step 4: Simplify right side
    1,073.90x = 1,038,187.20
  5. Step 5: Solve for x
    x = 1,038,187.20/1,073.90
  6. Step 6: Final answer
    x = 966.74

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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.