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Finding the Fourth Proportional to 999.63, 1,499.99 and 451.77

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Solution

The fourth proportional to 999.63, 1,499.99 and 451.77 is: 677.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.63 : 1,499.99 = 451.77 : x
  2. Step 2: Convert to fraction form
    999.63/1,499.99 = 451.77/x
  3. Step 3: Cross multiply
    999.63x = 1,499.99 × 451.77
  4. Step 4: Simplify right side
    999.63x = 677,650.48
  5. Step 5: Solve for x
    x = 677,650.48/999.63
  6. Step 6: Final answer
    x = 677.90

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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.