Home / 1,507.25-2,260.62-411.36

Finding the Fourth Proportional to 1,507.25, 2,260.62 and 411.36

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Solution

The fourth proportional to 1,507.25, 2,260.62 and 411.36 is: 616.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.25 : 2,260.62 = 411.36 : x
  2. Step 2: Convert to fraction form
    1,507.25/2,260.62 = 411.36/x
  3. Step 3: Cross multiply
    1,507.25x = 2,260.62 × 411.36
  4. Step 4: Simplify right side
    1,507.25x = 929,920.17
  5. Step 5: Solve for x
    x = 929,920.17/1,507.25
  6. Step 6: Final answer
    x = 616.96

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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.