Home / 688.20-1,032.29-201.23

Finding the Fourth Proportional to 688.20, 1,032.29 and 201.23

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Solution

The fourth proportional to 688.20, 1,032.29 and 201.23 is: 301.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.20 : 1,032.29 = 201.23 : x
  2. Step 2: Convert to fraction form
    688.20/1,032.29 = 201.23/x
  3. Step 3: Cross multiply
    688.20x = 1,032.29 × 201.23
  4. Step 4: Simplify right side
    688.20x = 207,733.11
  5. Step 5: Solve for x
    x = 207,733.11/688.20
  6. Step 6: Final answer
    x = 301.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.