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Finding the Fourth Proportional to 1,093.08, 1,507.59 and 871.50

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Solution

The fourth proportional to 1,093.08, 1,507.59 and 871.50 is: 1,201.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.08 : 1,507.59 = 871.50 : x
  2. Step 2: Convert to fraction form
    1,093.08/1,507.59 = 871.50/x
  3. Step 3: Cross multiply
    1,093.08x = 1,507.59 × 871.50
  4. Step 4: Simplify right side
    1,093.08x = 1,313,864.69
  5. Step 5: Solve for x
    x = 1,313,864.69/1,093.08
  6. Step 6: Final answer
    x = 1,201.98

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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.