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Finding the Fourth Proportional to 906.03, 1,248.63 and 739.71

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Solution

The fourth proportional to 906.03, 1,248.63 and 739.71 is: 1,019.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.03 : 1,248.63 = 739.71 : x
  2. Step 2: Convert to fraction form
    906.03/1,248.63 = 739.71/x
  3. Step 3: Cross multiply
    906.03x = 1,248.63 × 739.71
  4. Step 4: Simplify right side
    906.03x = 923,624.10
  5. Step 5: Solve for x
    x = 923,624.10/906.03
  6. Step 6: Final answer
    x = 1,019.42

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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.