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Finding the Fourth Proportional to 866.71, 1,196.09 and 551.98

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Solution

The fourth proportional to 866.71, 1,196.09 and 551.98 is: 761.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.71 : 1,196.09 = 551.98 : x
  2. Step 2: Convert to fraction form
    866.71/1,196.09 = 551.98/x
  3. Step 3: Cross multiply
    866.71x = 1,196.09 × 551.98
  4. Step 4: Simplify right side
    866.71x = 660,217.76
  5. Step 5: Solve for x
    x = 660,217.76/866.71
  6. Step 6: Final answer
    x = 761.75

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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.