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Finding the Fourth Proportional to 1,031.79, 1,423.44 and 699.69

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Solution

The fourth proportional to 1,031.79, 1,423.44 and 699.69 is: 965.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.79 : 1,423.44 = 699.69 : x
  2. Step 2: Convert to fraction form
    1,031.79/1,423.44 = 699.69/x
  3. Step 3: Cross multiply
    1,031.79x = 1,423.44 × 699.69
  4. Step 4: Simplify right side
    1,031.79x = 995,966.73
  5. Step 5: Solve for x
    x = 995,966.73/1,031.79
  6. Step 6: Final answer
    x = 965.28

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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.