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Finding the Fourth Proportional to 1,002.04, 1,502.79 and 453.94

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Solution

The fourth proportional to 1,002.04, 1,502.79 and 453.94 is: 680.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.04 : 1,502.79 = 453.94 : x
  2. Step 2: Convert to fraction form
    1,002.04/1,502.79 = 453.94/x
  3. Step 3: Cross multiply
    1,002.04x = 1,502.79 × 453.94
  4. Step 4: Simplify right side
    1,002.04x = 682,176.49
  5. Step 5: Solve for x
    x = 682,176.49/1,002.04
  6. Step 6: Final answer
    x = 680.79

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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.