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Finding the Fourth Proportional to 847.20, 1,167.12 and 811.20

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Solution

The fourth proportional to 847.20, 1,167.12 and 811.20 is: 1,117.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.20 : 1,167.12 = 811.20 : x
  2. Step 2: Convert to fraction form
    847.20/1,167.12 = 811.20/x
  3. Step 3: Cross multiply
    847.20x = 1,167.12 × 811.20
  4. Step 4: Simplify right side
    847.20x = 946,767.74
  5. Step 5: Solve for x
    x = 946,767.74/847.20
  6. Step 6: Final answer
    x = 1,117.53

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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.