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Finding the Fourth Proportional to 893.06, 1,338.02 and 859.34

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Solution

The fourth proportional to 893.06, 1,338.02 and 859.34 is: 1,287.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.06 : 1,338.02 = 859.34 : x
  2. Step 2: Convert to fraction form
    893.06/1,338.02 = 859.34/x
  3. Step 3: Cross multiply
    893.06x = 1,338.02 × 859.34
  4. Step 4: Simplify right side
    893.06x = 1,149,816.38
  5. Step 5: Solve for x
    x = 1,149,816.38/893.06
  6. Step 6: Final answer
    x = 1,287.50

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Why These Related Problems?

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