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Finding the Fourth Proportional to 866.78, 1,298.73 and 722.30

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Solution

The fourth proportional to 866.78, 1,298.73 and 722.30 is: 1,082.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.78 : 1,298.73 = 722.30 : x
  2. Step 2: Convert to fraction form
    866.78/1,298.73 = 722.30/x
  3. Step 3: Cross multiply
    866.78x = 1,298.73 × 722.30
  4. Step 4: Simplify right side
    866.78x = 938,072.68
  5. Step 5: Solve for x
    x = 938,072.68/866.78
  6. Step 6: Final answer
    x = 1,082.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.