Home / 1,507.32-2,260.80-411.72

Finding the Fourth Proportional to 1,507.32, 2,260.80 and 411.72

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Solution

The fourth proportional to 1,507.32, 2,260.80 and 411.72 is: 617.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.32 : 2,260.80 = 411.72 : x
  2. Step 2: Convert to fraction form
    1,507.32/2,260.80 = 411.72/x
  3. Step 3: Cross multiply
    1,507.32x = 2,260.80 × 411.72
  4. Step 4: Simplify right side
    1,507.32x = 930,816.58
  5. Step 5: Solve for x
    x = 930,816.58/1,507.32
  6. Step 6: Final answer
    x = 617.53

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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.