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Finding the Fourth Proportional to 1,073.10, 1,481.34 and 700.80

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Solution

The fourth proportional to 1,073.10, 1,481.34 and 700.80 is: 967.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.10 : 1,481.34 = 700.80 : x
  2. Step 2: Convert to fraction form
    1,073.10/1,481.34 = 700.80/x
  3. Step 3: Cross multiply
    1,073.10x = 1,481.34 × 700.80
  4. Step 4: Simplify right side
    1,073.10x = 1,038,123.07
  5. Step 5: Solve for x
    x = 1,038,123.07/1,073.10
  6. Step 6: Final answer
    x = 967.41

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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.