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Finding the Fourth Proportional to 1,100.40, 1,520.47 and 866.21

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Solution

The fourth proportional to 1,100.40, 1,520.47 and 866.21 is: 1,196.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.40 : 1,520.47 = 866.21 : x
  2. Step 2: Convert to fraction form
    1,100.40/1,520.47 = 866.21/x
  3. Step 3: Cross multiply
    1,100.40x = 1,520.47 × 866.21
  4. Step 4: Simplify right side
    1,100.40x = 1,317,038.72
  5. Step 5: Solve for x
    x = 1,317,038.72/1,100.40
  6. Step 6: Final answer
    x = 1,196.87

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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.