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Finding the Fourth Proportional to 1,110.20, 1,533.32 and 864.48

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Solution

The fourth proportional to 1,110.20, 1,533.32 and 864.48 is: 1,193.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.20 : 1,533.32 = 864.48 : x
  2. Step 2: Convert to fraction form
    1,110.20/1,533.32 = 864.48/x
  3. Step 3: Cross multiply
    1,110.20x = 1,533.32 × 864.48
  4. Step 4: Simplify right side
    1,110.20x = 1,325,524.47
  5. Step 5: Solve for x
    x = 1,325,524.47/1,110.20
  6. Step 6: Final answer
    x = 1,193.95

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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.