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Finding the Fourth Proportional to 1,463.78, 2,020.01 and 866.27

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Solution

The fourth proportional to 1,463.78, 2,020.01 and 866.27 is: 1,195.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.78 : 2,020.01 = 866.27 : x
  2. Step 2: Convert to fraction form
    1,463.78/2,020.01 = 866.27/x
  3. Step 3: Cross multiply
    1,463.78x = 2,020.01 × 866.27
  4. Step 4: Simplify right side
    1,463.78x = 1,749,859.63
  5. Step 5: Solve for x
    x = 1,749,859.63/1,463.78
  6. Step 6: Final answer
    x = 1,195.44

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1.5x scale

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.