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Finding the Fourth Proportional to 1,105.38, 1,656.18 and 617.22

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Solution

The fourth proportional to 1,105.38, 1,656.18 and 617.22 is: 924.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.38 : 1,656.18 = 617.22 : x
  2. Step 2: Convert to fraction form
    1,105.38/1,656.18 = 617.22/x
  3. Step 3: Cross multiply
    1,105.38x = 1,656.18 × 617.22
  4. Step 4: Simplify right side
    1,105.38x = 1,022,227.42
  5. Step 5: Solve for x
    x = 1,022,227.42/1,105.38
  6. Step 6: Final answer
    x = 924.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.