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Finding the Fourth Proportional to 867.24, 1,196.79 and 513.09

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Solution

The fourth proportional to 867.24, 1,196.79 and 513.09 is: 708.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.24 : 1,196.79 = 513.09 : x
  2. Step 2: Convert to fraction form
    867.24/1,196.79 = 513.09/x
  3. Step 3: Cross multiply
    867.24x = 1,196.79 × 513.09
  4. Step 4: Simplify right side
    867.24x = 614,060.98
  5. Step 5: Solve for x
    x = 614,060.98/867.24
  6. Step 6: Final answer
    x = 708.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.