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Finding the Fourth Proportional to 893.42, 1,337.13 and 859.34

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Solution

The fourth proportional to 893.42, 1,337.13 and 859.34 is: 1,286.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.42 : 1,337.13 = 859.34 : x
  2. Step 2: Convert to fraction form
    893.42/1,337.13 = 859.34/x
  3. Step 3: Cross multiply
    893.42x = 1,337.13 × 859.34
  4. Step 4: Simplify right side
    893.42x = 1,149,049.29
  5. Step 5: Solve for x
    x = 1,149,049.29/893.42
  6. Step 6: Final answer
    x = 1,286.12

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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.