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Finding the Fourth Proportional to 1,808.14, 2,712.31 and 509.71

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Solution

The fourth proportional to 1,808.14, 2,712.31 and 509.71 is: 764.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.14 : 2,712.31 = 509.71 : x
  2. Step 2: Convert to fraction form
    1,808.14/2,712.31 = 509.71/x
  3. Step 3: Cross multiply
    1,808.14x = 2,712.31 × 509.71
  4. Step 4: Simplify right side
    1,808.14x = 1,382,491.53
  5. Step 5: Solve for x
    x = 1,382,491.53/1,808.14
  6. Step 6: Final answer
    x = 764.59

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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.