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Finding the Fourth Proportional to 1,666.78, 2,499.96 and 496.73

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Solution

The fourth proportional to 1,666.78, 2,499.96 and 496.73 is: 745.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.78 : 2,499.96 = 496.73 : x
  2. Step 2: Convert to fraction form
    1,666.78/2,499.96 = 496.73/x
  3. Step 3: Cross multiply
    1,666.78x = 2,499.96 × 496.73
  4. Step 4: Simplify right side
    1,666.78x = 1,241,813.24
  5. Step 5: Solve for x
    x = 1,241,813.24/1,666.78
  6. Step 6: Final answer
    x = 745.04

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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.