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Finding the Fourth Proportional to 906.31, 1,248.37 and 845.83

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Solution

The fourth proportional to 906.31, 1,248.37 and 845.83 is: 1,165.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.31 : 1,248.37 = 845.83 : x
  2. Step 2: Convert to fraction form
    906.31/1,248.37 = 845.83/x
  3. Step 3: Cross multiply
    906.31x = 1,248.37 × 845.83
  4. Step 4: Simplify right side
    906.31x = 1,055,908.80
  5. Step 5: Solve for x
    x = 1,055,908.80/906.31
  6. Step 6: Final answer
    x = 1,165.06

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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.