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Finding the Fourth Proportional to 1,149.99, 1,723.77 and 491.73

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Solution

The fourth proportional to 1,149.99, 1,723.77 and 491.73 is: 737.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.99 : 1,723.77 = 491.73 : x
  2. Step 2: Convert to fraction form
    1,149.99/1,723.77 = 491.73/x
  3. Step 3: Cross multiply
    1,149.99x = 1,723.77 × 491.73
  4. Step 4: Simplify right side
    1,149.99x = 847,629.42
  5. Step 5: Solve for x
    x = 847,629.42/1,149.99
  6. Step 6: Final answer
    x = 737.08

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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.