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Finding the Fourth Proportional to 1,667.25, 2,500.91 and 513

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Solution

The fourth proportional to 1,667.25, 2,500.91 and 513 is: 769.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.25 : 2,500.91 = 513 : x
  2. Step 2: Convert to fraction form
    1,667.25/2,500.91 = 513/x
  3. Step 3: Cross multiply
    1,667.25x = 2,500.91 × 513
  4. Step 4: Simplify right side
    1,667.25x = 1,282,966.19
  5. Step 5: Solve for x
    x = 1,282,966.19/1,667.25
  6. Step 6: Final answer
    x = 769.51

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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.