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Finding the Fourth Proportional to 893.55, 1,347.02 and 834.08

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Solution

The fourth proportional to 893.55, 1,347.02 and 834.08 is: 1,257.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.55 : 1,347.02 = 834.08 : x
  2. Step 2: Convert to fraction form
    893.55/1,347.02 = 834.08/x
  3. Step 3: Cross multiply
    893.55x = 1,347.02 × 834.08
  4. Step 4: Simplify right side
    893.55x = 1,123,527.89
  5. Step 5: Solve for x
    x = 1,123,527.89/893.55
  6. Step 6: Final answer
    x = 1,257.38

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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.