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Finding the Fourth Proportional to 847.55, 1,161.16 and 814.75

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Solution

The fourth proportional to 847.55, 1,161.16 and 814.75 is: 1,116.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.55 : 1,161.16 = 814.75 : x
  2. Step 2: Convert to fraction form
    847.55/1,161.16 = 814.75/x
  3. Step 3: Cross multiply
    847.55x = 1,161.16 × 814.75
  4. Step 4: Simplify right side
    847.55x = 946,055.11
  5. Step 5: Solve for x
    x = 946,055.11/847.55
  6. Step 6: Final answer
    x = 1,116.22

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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.