Home / 1,507.12-2,260.78-411.46

Finding the Fourth Proportional to 1,507.12, 2,260.78 and 411.46

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Solution

The fourth proportional to 1,507.12, 2,260.78 and 411.46 is: 617.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.12 : 2,260.78 = 411.46 : x
  2. Step 2: Convert to fraction form
    1,507.12/2,260.78 = 411.46/x
  3. Step 3: Cross multiply
    1,507.12x = 2,260.78 × 411.46
  4. Step 4: Simplify right side
    1,507.12x = 930,220.54
  5. Step 5: Solve for x
    x = 930,220.54/1,507.12
  6. Step 6: Final answer
    x = 617.22

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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.