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Finding the Fourth Proportional to 1,666.96, 2,500.36 and 512.56

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Solution

The fourth proportional to 1,666.96, 2,500.36 and 512.56 is: 768.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.96 : 2,500.36 = 512.56 : x
  2. Step 2: Convert to fraction form
    1,666.96/2,500.36 = 512.56/x
  3. Step 3: Cross multiply
    1,666.96x = 2,500.36 × 512.56
  4. Step 4: Simplify right side
    1,666.96x = 1,281,584.52
  5. Step 5: Solve for x
    x = 1,281,584.52/1,666.96
  6. Step 6: Final answer
    x = 768.82

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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.