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Finding the Fourth Proportional to 699.96, 1,044.12 and 679.68

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Solution

The fourth proportional to 699.96, 1,044.12 and 679.68 is: 1,013.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.96 : 1,044.12 = 679.68 : x
  2. Step 2: Convert to fraction form
    699.96/1,044.12 = 679.68/x
  3. Step 3: Cross multiply
    699.96x = 1,044.12 × 679.68
  4. Step 4: Simplify right side
    699.96x = 709,667.48
  5. Step 5: Solve for x
    x = 709,667.48/699.96
  6. Step 6: Final answer
    x = 1,013.87

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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.