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Finding the Fourth Proportional to 846.99, 1,160.09 and 797.18

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Solution

The fourth proportional to 846.99, 1,160.09 and 797.18 is: 1,091.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.99 : 1,160.09 = 797.18 : x
  2. Step 2: Convert to fraction form
    846.99/1,160.09 = 797.18/x
  3. Step 3: Cross multiply
    846.99x = 1,160.09 × 797.18
  4. Step 4: Simplify right side
    846.99x = 924,793.75
  5. Step 5: Solve for x
    x = 924,793.75/846.99
  6. Step 6: Final answer
    x = 1,091.86

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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.