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Finding the Fourth Proportional to 1,002.04, 1,503.07 and 454.39

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Solution

The fourth proportional to 1,002.04, 1,503.07 and 454.39 is: 681.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.04 : 1,503.07 = 454.39 : x
  2. Step 2: Convert to fraction form
    1,002.04/1,503.07 = 454.39/x
  3. Step 3: Cross multiply
    1,002.04x = 1,503.07 × 454.39
  4. Step 4: Simplify right side
    1,002.04x = 682,975.08
  5. Step 5: Solve for x
    x = 682,975.08/1,002.04
  6. Step 6: Final answer
    x = 681.59

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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.