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Finding the Fourth Proportional to 1,350.10, 2,025.10 and 425.62

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Solution

The fourth proportional to 1,350.10, 2,025.10 and 425.62 is: 638.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.10 : 2,025.10 = 425.62 : x
  2. Step 2: Convert to fraction form
    1,350.10/2,025.10 = 425.62/x
  3. Step 3: Cross multiply
    1,350.10x = 2,025.10 × 425.62
  4. Step 4: Simplify right side
    1,350.10x = 861,926.13
  5. Step 5: Solve for x
    x = 861,926.13/1,350.10
  6. Step 6: Final answer
    x = 638.42

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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.