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Finding the Fourth Proportional to 1,002.50, 1,504.37 and 425.38

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Solution

The fourth proportional to 1,002.50, 1,504.37 and 425.38 is: 638.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.50 : 1,504.37 = 425.38 : x
  2. Step 2: Convert to fraction form
    1,002.50/1,504.37 = 425.38/x
  3. Step 3: Cross multiply
    1,002.50x = 1,504.37 × 425.38
  4. Step 4: Simplify right side
    1,002.50x = 639,919.26
  5. Step 5: Solve for x
    x = 639,919.26/1,002.50
  6. Step 6: Final answer
    x = 638.32

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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.