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Finding the Fourth Proportional to 1,335.26, 2,002.62 and 410.52

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Solution

The fourth proportional to 1,335.26, 2,002.62 and 410.52 is: 615.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.26 : 2,002.62 = 410.52 : x
  2. Step 2: Convert to fraction form
    1,335.26/2,002.62 = 410.52/x
  3. Step 3: Cross multiply
    1,335.26x = 2,002.62 × 410.52
  4. Step 4: Simplify right side
    1,335.26x = 822,115.56
  5. Step 5: Solve for x
    x = 822,115.56/1,335.26
  6. Step 6: Final answer
    x = 615.70

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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.