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Finding the Fourth Proportional to 2,822.57, 4,233.85 and 770.57

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Solution

The fourth proportional to 2,822.57, 4,233.85 and 770.57 is: 1,155.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.57 : 4,233.85 = 770.57 : x
  2. Step 2: Convert to fraction form
    2,822.57/4,233.85 = 770.57/x
  3. Step 3: Cross multiply
    2,822.57x = 4,233.85 × 770.57
  4. Step 4: Simplify right side
    2,822.57x = 3,262,452.77
  5. Step 5: Solve for x
    x = 3,262,452.77/2,822.57
  6. Step 6: Final answer
    x = 1,155.85

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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.