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Finding the Fourth Proportional to 1,002.18, 1,503.20 and 425

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Solution

The fourth proportional to 1,002.18, 1,503.20 and 425 is: 637.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.18 : 1,503.20 = 425 : x
  2. Step 2: Convert to fraction form
    1,002.18/1,503.20 = 425/x
  3. Step 3: Cross multiply
    1,002.18x = 1,503.20 × 425
  4. Step 4: Simplify right side
    1,002.18x = 638,860
  5. Step 5: Solve for x
    x = 638,860/1,002.18
  6. Step 6: Final answer
    x = 637.47

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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.