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Finding the Fourth Proportional to 1,806.22, 2,709.42 and 507.79

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Solution

The fourth proportional to 1,806.22, 2,709.42 and 507.79 is: 761.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.22 : 2,709.42 = 507.79 : x
  2. Step 2: Convert to fraction form
    1,806.22/2,709.42 = 507.79/x
  3. Step 3: Cross multiply
    1,806.22x = 2,709.42 × 507.79
  4. Step 4: Simplify right side
    1,806.22x = 1,375,809.61
  5. Step 5: Solve for x
    x = 1,375,809.61/1,806.22
  6. Step 6: Final answer
    x = 761.71

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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.