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Finding the Fourth Proportional to 723.85, 1,078.31 and 679.03

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Solution

The fourth proportional to 723.85, 1,078.31 and 679.03 is: 1,011.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.85 : 1,078.31 = 679.03 : x
  2. Step 2: Convert to fraction form
    723.85/1,078.31 = 679.03/x
  3. Step 3: Cross multiply
    723.85x = 1,078.31 × 679.03
  4. Step 4: Simplify right side
    723.85x = 732,204.84
  5. Step 5: Solve for x
    x = 732,204.84/723.85
  6. Step 6: Final answer
    x = 1,011.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.