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Finding the Fourth Proportional to 910.30, 1,371.07 and 866.56

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Solution

The fourth proportional to 910.30, 1,371.07 and 866.56 is: 1,305.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.30 : 1,371.07 = 866.56 : x
  2. Step 2: Convert to fraction form
    910.30/1,371.07 = 866.56/x
  3. Step 3: Cross multiply
    910.30x = 1,371.07 × 866.56
  4. Step 4: Simplify right side
    910.30x = 1,188,114.42
  5. Step 5: Solve for x
    x = 1,188,114.42/910.30
  6. Step 6: Final answer
    x = 1,305.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.