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Finding the Fourth Proportional to 1,808.62, 2,712.62 and 509.78

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Solution

The fourth proportional to 1,808.62, 2,712.62 and 509.78 is: 764.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.62 : 2,712.62 = 509.78 : x
  2. Step 2: Convert to fraction form
    1,808.62/2,712.62 = 509.78/x
  3. Step 3: Cross multiply
    1,808.62x = 2,712.62 × 509.78
  4. Step 4: Simplify right side
    1,808.62x = 1,382,839.42
  5. Step 5: Solve for x
    x = 1,382,839.42/1,808.62
  6. Step 6: Final answer
    x = 764.58

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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.