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Finding the Fourth Proportional to 893.70, 1,337.10 and 546.96

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Solution

The fourth proportional to 893.70, 1,337.10 and 546.96 is: 818.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.70 : 1,337.10 = 546.96 : x
  2. Step 2: Convert to fraction form
    893.70/1,337.10 = 546.96/x
  3. Step 3: Cross multiply
    893.70x = 1,337.10 × 546.96
  4. Step 4: Simplify right side
    893.70x = 731,340.22
  5. Step 5: Solve for x
    x = 731,340.22/893.70
  6. Step 6: Final answer
    x = 818.33

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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.