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Finding the Fourth Proportional to 902.28, 1,244.77 and 666.78

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Solution

The fourth proportional to 902.28, 1,244.77 and 666.78 is: 919.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.28 : 1,244.77 = 666.78 : x
  2. Step 2: Convert to fraction form
    902.28/1,244.77 = 666.78/x
  3. Step 3: Cross multiply
    902.28x = 1,244.77 × 666.78
  4. Step 4: Simplify right side
    902.28x = 829,987.74
  5. Step 5: Solve for x
    x = 829,987.74/902.28
  6. Step 6: Final answer
    x = 919.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.