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Finding the Fourth Proportional to 905.40, 1,248.04 and 683.98

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Solution

The fourth proportional to 905.40, 1,248.04 and 683.98 is: 942.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.40 : 1,248.04 = 683.98 : x
  2. Step 2: Convert to fraction form
    905.40/1,248.04 = 683.98/x
  3. Step 3: Cross multiply
    905.40x = 1,248.04 × 683.98
  4. Step 4: Simplify right side
    905.40x = 853,634.40
  5. Step 5: Solve for x
    x = 853,634.40/905.40
  6. Step 6: Final answer
    x = 942.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.