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Finding the Fourth Proportional to 1,105, 1,649.60 and 1,066.56

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Solution

The fourth proportional to 1,105, 1,649.60 and 1,066.56 is: 1,592.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105 : 1,649.60 = 1,066.56 : x
  2. Step 2: Convert to fraction form
    1,105/1,649.60 = 1,066.56/x
  3. Step 3: Cross multiply
    1,105x = 1,649.60 × 1,066.56
  4. Step 4: Simplify right side
    1,105x = 1,759,397.38
  5. Step 5: Solve for x
    x = 1,759,397.38/1,105
  6. Step 6: Final answer
    x = 1,592.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.