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Finding the Fourth Proportional to 1,002.12, 1,503.50 and 454.15

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Solution

The fourth proportional to 1,002.12, 1,503.50 and 454.15 is: 681.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.12 : 1,503.50 = 454.15 : x
  2. Step 2: Convert to fraction form
    1,002.12/1,503.50 = 454.15/x
  3. Step 3: Cross multiply
    1,002.12x = 1,503.50 × 454.15
  4. Step 4: Simplify right side
    1,002.12x = 682,814.53
  5. Step 5: Solve for x
    x = 682,814.53/1,002.12
  6. Step 6: Final answer
    x = 681.37

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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.