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Finding the Fourth Proportional to 867.23, 1,196.77 and 556.73

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Solution

The fourth proportional to 867.23, 1,196.77 and 556.73 is: 768.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.23 : 1,196.77 = 556.73 : x
  2. Step 2: Convert to fraction form
    867.23/1,196.77 = 556.73/x
  3. Step 3: Cross multiply
    867.23x = 1,196.77 × 556.73
  4. Step 4: Simplify right side
    867.23x = 666,271.78
  5. Step 5: Solve for x
    x = 666,271.78/867.23
  6. Step 6: Final answer
    x = 768.28

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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.