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Finding the Fourth Proportional to 1,200.81, 1,654.50 and 807.15

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Solution

The fourth proportional to 1,200.81, 1,654.50 and 807.15 is: 1,112.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.81 : 1,654.50 = 807.15 : x
  2. Step 2: Convert to fraction form
    1,200.81/1,654.50 = 807.15/x
  3. Step 3: Cross multiply
    1,200.81x = 1,654.50 × 807.15
  4. Step 4: Simplify right side
    1,200.81x = 1,335,429.68
  5. Step 5: Solve for x
    x = 1,335,429.68/1,200.81
  6. Step 6: Final answer
    x = 1,112.11

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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.