Home / 1,148.54-1,723.01-499.73

Finding the Fourth Proportional to 1,148.54, 1,723.01 and 499.73

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Solution

The fourth proportional to 1,148.54, 1,723.01 and 499.73 is: 749.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.54 : 1,723.01 = 499.73 : x
  2. Step 2: Convert to fraction form
    1,148.54/1,723.01 = 499.73/x
  3. Step 3: Cross multiply
    1,148.54x = 1,723.01 × 499.73
  4. Step 4: Simplify right side
    1,148.54x = 861,028.67
  5. Step 5: Solve for x
    x = 861,028.67/1,148.54
  6. Step 6: Final answer
    x = 749.68

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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.