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Finding the Fourth Proportional to 901.62, 1,236.84 and 845.70

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Solution

The fourth proportional to 901.62, 1,236.84 and 845.70 is: 1,160.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.62 : 1,236.84 = 845.70 : x
  2. Step 2: Convert to fraction form
    901.62/1,236.84 = 845.70/x
  3. Step 3: Cross multiply
    901.62x = 1,236.84 × 845.70
  4. Step 4: Simplify right side
    901.62x = 1,045,995.59
  5. Step 5: Solve for x
    x = 1,045,995.59/901.62
  6. Step 6: Final answer
    x = 1,160.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.