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Finding the Fourth Proportional to 906.73, 1,253.80 and 719.89

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Solution

The fourth proportional to 906.73, 1,253.80 and 719.89 is: 995.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.73 : 1,253.80 = 719.89 : x
  2. Step 2: Convert to fraction form
    906.73/1,253.80 = 719.89/x
  3. Step 3: Cross multiply
    906.73x = 1,253.80 × 719.89
  4. Step 4: Simplify right side
    906.73x = 902,591.80
  5. Step 5: Solve for x
    x = 902,591.80/906.73
  6. Step 6: Final answer
    x = 995.44

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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.