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Finding the Fourth Proportional to 1,685.28, 2,324.88 and 1,452

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Solution

The fourth proportional to 1,685.28, 2,324.88 and 1,452 is: 2,003.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.28 : 2,324.88 = 1,452 : x
  2. Step 2: Convert to fraction form
    1,685.28/2,324.88 = 1,452/x
  3. Step 3: Cross multiply
    1,685.28x = 2,324.88 × 1,452
  4. Step 4: Simplify right side
    1,685.28x = 3,375,725.76
  5. Step 5: Solve for x
    x = 3,375,725.76/1,685.28
  6. Step 6: Final answer
    x = 2,003.07

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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.