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Finding the Fourth Proportional to 866.55, 1,197.36 and 681.51

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Solution

The fourth proportional to 866.55, 1,197.36 and 681.51 is: 941.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.55 : 1,197.36 = 681.51 : x
  2. Step 2: Convert to fraction form
    866.55/1,197.36 = 681.51/x
  3. Step 3: Cross multiply
    866.55x = 1,197.36 × 681.51
  4. Step 4: Simplify right side
    866.55x = 816,012.81
  5. Step 5: Solve for x
    x = 816,012.81/866.55
  6. Step 6: Final answer
    x = 941.68

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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.