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Finding the Fourth Proportional to 1,000.02, 1,499.91 and 451.89

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Solution

The fourth proportional to 1,000.02, 1,499.91 and 451.89 is: 677.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.02 : 1,499.91 = 451.89 : x
  2. Step 2: Convert to fraction form
    1,000.02/1,499.91 = 451.89/x
  3. Step 3: Cross multiply
    1,000.02x = 1,499.91 × 451.89
  4. Step 4: Simplify right side
    1,000.02x = 677,794.33
  5. Step 5: Solve for x
    x = 677,794.33/1,000.02
  6. Step 6: Final answer
    x = 677.78

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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.