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Finding the Fourth Proportional to 893.42, 1,346.84 and 833.96

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Solution

The fourth proportional to 893.42, 1,346.84 and 833.96 is: 1,257.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.42 : 1,346.84 = 833.96 : x
  2. Step 2: Convert to fraction form
    893.42/1,346.84 = 833.96/x
  3. Step 3: Cross multiply
    893.42x = 1,346.84 × 833.96
  4. Step 4: Simplify right side
    893.42x = 1,123,210.69
  5. Step 5: Solve for x
    x = 1,123,210.69/893.42
  6. Step 6: Final answer
    x = 1,257.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.