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Finding the Fourth Proportional to 561.91, 774.85 and 443.69

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Solution

The fourth proportional to 561.91, 774.85 and 443.69 is: 611.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.91 : 774.85 = 443.69 : x
  2. Step 2: Convert to fraction form
    561.91/774.85 = 443.69/x
  3. Step 3: Cross multiply
    561.91x = 774.85 × 443.69
  4. Step 4: Simplify right side
    561.91x = 343,793.20
  5. Step 5: Solve for x
    x = 343,793.20/561.91
  6. Step 6: Final answer
    x = 611.83

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1.5x scale

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.