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Finding the Fourth Proportional to 2,285.44, 3,428.18 and 725.42

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Solution

The fourth proportional to 2,285.44, 3,428.18 and 725.42 is: 1,088.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.44 : 3,428.18 = 725.42 : x
  2. Step 2: Convert to fraction form
    2,285.44/3,428.18 = 725.42/x
  3. Step 3: Cross multiply
    2,285.44x = 3,428.18 × 725.42
  4. Step 4: Simplify right side
    2,285.44x = 2,486,870.34
  5. Step 5: Solve for x
    x = 2,486,870.34/2,285.44
  6. Step 6: Final answer
    x = 1,088.14

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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.