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Finding the Fourth Proportional to 561.72, 774.50 and 443.72

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Solution

The fourth proportional to 561.72, 774.50 and 443.72 is: 611.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.72 : 774.50 = 443.72 : x
  2. Step 2: Convert to fraction form
    561.72/774.50 = 443.72/x
  3. Step 3: Cross multiply
    561.72x = 774.50 × 443.72
  4. Step 4: Simplify right side
    561.72x = 343,661.14
  5. Step 5: Solve for x
    x = 343,661.14/561.72
  6. Step 6: Final answer
    x = 611.80

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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.