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Finding the Fourth Proportional to 1,667.20, 2,500 and 512.32

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Solution

The fourth proportional to 1,667.20, 2,500 and 512.32 is: 768.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.20 : 2,500 = 512.32 : x
  2. Step 2: Convert to fraction form
    1,667.20/2,500 = 512.32/x
  3. Step 3: Cross multiply
    1,667.20x = 2,500 × 512.32
  4. Step 4: Simplify right side
    1,667.20x = 1,280,800.00
  5. Step 5: Solve for x
    x = 1,280,800.00/1,667.20
  6. Step 6: Final answer
    x = 768.23

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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.