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Finding the Fourth Proportional to 722.70, 1,003.10 and 704.88

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Solution

The fourth proportional to 722.70, 1,003.10 and 704.88 is: 978.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.70 : 1,003.10 = 704.88 : x
  2. Step 2: Convert to fraction form
    722.70/1,003.10 = 704.88/x
  3. Step 3: Cross multiply
    722.70x = 1,003.10 × 704.88
  4. Step 4: Simplify right side
    722.70x = 707,061.60
  5. Step 5: Solve for x
    x = 707,061.60/722.70
  6. Step 6: Final answer
    x = 978.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.