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Finding the Fourth Proportional to 1,666.63, 2,499.96 and 512.38

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Solution

The fourth proportional to 1,666.63, 2,499.96 and 512.38 is: 768.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.63 : 2,499.96 = 512.38 : x
  2. Step 2: Convert to fraction form
    1,666.63/2,499.96 = 512.38/x
  3. Step 3: Cross multiply
    1,666.63x = 2,499.96 × 512.38
  4. Step 4: Simplify right side
    1,666.63x = 1,280,917.01
  5. Step 5: Solve for x
    x = 1,280,917.01/1,666.63
  6. Step 6: Final answer
    x = 768.57

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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.