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Finding the Fourth Proportional to 1,349.88, 2,025.16 and 425.40

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Solution

The fourth proportional to 1,349.88, 2,025.16 and 425.40 is: 638.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.88 : 2,025.16 = 425.40 : x
  2. Step 2: Convert to fraction form
    1,349.88/2,025.16 = 425.40/x
  3. Step 3: Cross multiply
    1,349.88x = 2,025.16 × 425.40
  4. Step 4: Simplify right side
    1,349.88x = 861,503.06
  5. Step 5: Solve for x
    x = 861,503.06/1,349.88
  6. Step 6: Final answer
    x = 638.21

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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.