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Finding the Fourth Proportional to 867.87, 1,199.05 and 658.78

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Solution

The fourth proportional to 867.87, 1,199.05 and 658.78 is: 910.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.87 : 1,199.05 = 658.78 : x
  2. Step 2: Convert to fraction form
    867.87/1,199.05 = 658.78/x
  3. Step 3: Cross multiply
    867.87x = 1,199.05 × 658.78
  4. Step 4: Simplify right side
    867.87x = 789,905.51
  5. Step 5: Solve for x
    x = 789,905.51/867.87
  6. Step 6: Final answer
    x = 910.17

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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.