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Finding the Fourth Proportional to 1,031.67, 1,421.50 and 699.52

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Solution

The fourth proportional to 1,031.67, 1,421.50 and 699.52 is: 963.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.67 : 1,421.50 = 699.52 : x
  2. Step 2: Convert to fraction form
    1,031.67/1,421.50 = 699.52/x
  3. Step 3: Cross multiply
    1,031.67x = 1,421.50 × 699.52
  4. Step 4: Simplify right side
    1,031.67x = 994,367.68
  5. Step 5: Solve for x
    x = 994,367.68/1,031.67
  6. Step 6: Final answer
    x = 963.84

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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.