Home / 1,434.32-2,151.27-509.79

Finding the Fourth Proportional to 1,434.32, 2,151.27 and 509.79

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Solution

The fourth proportional to 1,434.32, 2,151.27 and 509.79 is: 764.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.32 : 2,151.27 = 509.79 : x
  2. Step 2: Convert to fraction form
    1,434.32/2,151.27 = 509.79/x
  3. Step 3: Cross multiply
    1,434.32x = 2,151.27 × 509.79
  4. Step 4: Simplify right side
    1,434.32x = 1,096,695.93
  5. Step 5: Solve for x
    x = 1,096,695.93/1,434.32
  6. Step 6: Final answer
    x = 764.61

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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.