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Finding the Fourth Proportional to 867.48, 1,197.78 and 681.87

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Solution

The fourth proportional to 867.48, 1,197.78 and 681.87 is: 941.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.48 : 1,197.78 = 681.87 : x
  2. Step 2: Convert to fraction form
    867.48/1,197.78 = 681.87/x
  3. Step 3: Cross multiply
    867.48x = 1,197.78 × 681.87
  4. Step 4: Simplify right side
    867.48x = 816,730.25
  5. Step 5: Solve for x
    x = 816,730.25/867.48
  6. Step 6: Final answer
    x = 941.50

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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.