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Finding the Fourth Proportional to 847.80, 1,168.20 and 700.92

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Solution

The fourth proportional to 847.80, 1,168.20 and 700.92 is: 965.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.80 : 1,168.20 = 700.92 : x
  2. Step 2: Convert to fraction form
    847.80/1,168.20 = 700.92/x
  3. Step 3: Cross multiply
    847.80x = 1,168.20 × 700.92
  4. Step 4: Simplify right side
    847.80x = 818,814.74
  5. Step 5: Solve for x
    x = 818,814.74/847.80
  6. Step 6: Final answer
    x = 965.81

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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.