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Finding the Fourth Proportional to 2,285.46, 3,428.96 and 725.72

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Solution

The fourth proportional to 2,285.46, 3,428.96 and 725.72 is: 1,088.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.46 : 3,428.96 = 725.72 : x
  2. Step 2: Convert to fraction form
    2,285.46/3,428.96 = 725.72/x
  3. Step 3: Cross multiply
    2,285.46x = 3,428.96 × 725.72
  4. Step 4: Simplify right side
    2,285.46x = 2,488,444.08
  5. Step 5: Solve for x
    x = 2,488,444.08/2,285.46
  6. Step 6: Final answer
    x = 1,088.82

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1.5x scale

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.