Home / 1,434.11-2,151.21-509.73

Finding the Fourth Proportional to 1,434.11, 2,151.21 and 509.73

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Solution

The fourth proportional to 1,434.11, 2,151.21 and 509.73 is: 764.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.11 : 2,151.21 = 509.73 : x
  2. Step 2: Convert to fraction form
    1,434.11/2,151.21 = 509.73/x
  3. Step 3: Cross multiply
    1,434.11x = 2,151.21 × 509.73
  4. Step 4: Simplify right side
    1,434.11x = 1,096,545.40
  5. Step 5: Solve for x
    x = 1,096,545.40/1,434.11
  6. Step 6: Final answer
    x = 764.62

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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.