Home / 1,507.14-2,260.68-411.48

Finding the Fourth Proportional to 1,507.14, 2,260.68 and 411.48

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Solution

The fourth proportional to 1,507.14, 2,260.68 and 411.48 is: 617.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.14 : 2,260.68 = 411.48 : x
  2. Step 2: Convert to fraction form
    1,507.14/2,260.68 = 411.48/x
  3. Step 3: Cross multiply
    1,507.14x = 2,260.68 × 411.48
  4. Step 4: Simplify right side
    1,507.14x = 930,224.61
  5. Step 5: Solve for x
    x = 930,224.61/1,507.14
  6. Step 6: Final answer
    x = 617.21

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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.