Home / 1,335.13-2,002.92-410.66

Finding the Fourth Proportional to 1,335.13, 2,002.92 and 410.66

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Solution

The fourth proportional to 1,335.13, 2,002.92 and 410.66 is: 616.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.13 : 2,002.92 = 410.66 : x
  2. Step 2: Convert to fraction form
    1,335.13/2,002.92 = 410.66/x
  3. Step 3: Cross multiply
    1,335.13x = 2,002.92 × 410.66
  4. Step 4: Simplify right side
    1,335.13x = 822,527.50
  5. Step 5: Solve for x
    x = 822,527.50/1,335.13
  6. Step 6: Final answer
    x = 616.07

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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.