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Finding the Fourth Proportional to 1,941.22, 2,909.80 and 770.91

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Solution

The fourth proportional to 1,941.22, 2,909.80 and 770.91 is: 1,155.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.22 : 2,909.80 = 770.91 : x
  2. Step 2: Convert to fraction form
    1,941.22/2,909.80 = 770.91/x
  3. Step 3: Cross multiply
    1,941.22x = 2,909.80 × 770.91
  4. Step 4: Simplify right side
    1,941.22x = 2,243,193.92
  5. Step 5: Solve for x
    x = 2,243,193.92/1,941.22
  6. Step 6: Final answer
    x = 1,155.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.