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Finding the Fourth Proportional to 1,486.68, 2,230 and 512.78

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Solution

The fourth proportional to 1,486.68, 2,230 and 512.78 is: 769.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.68 : 2,230 = 512.78 : x
  2. Step 2: Convert to fraction form
    1,486.68/2,230 = 512.78/x
  3. Step 3: Cross multiply
    1,486.68x = 2,230 × 512.78
  4. Step 4: Simplify right side
    1,486.68x = 1,143,499.40
  5. Step 5: Solve for x
    x = 1,143,499.40/1,486.68
  6. Step 6: Final answer
    x = 769.16

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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.