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Finding the Fourth Proportional to 1,108.60, 1,661.82 and 491.78

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Solution

The fourth proportional to 1,108.60, 1,661.82 and 491.78 is: 737.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.60 : 1,661.82 = 491.78 : x
  2. Step 2: Convert to fraction form
    1,108.60/1,661.82 = 491.78/x
  3. Step 3: Cross multiply
    1,108.60x = 1,661.82 × 491.78
  4. Step 4: Simplify right side
    1,108.60x = 817,249.84
  5. Step 5: Solve for x
    x = 817,249.84/1,108.60
  6. Step 6: Final answer
    x = 737.19

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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.