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Finding the Fourth Proportional to 561.69, 773.82 and 395.64

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Solution

The fourth proportional to 561.69, 773.82 and 395.64 is: 545.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.69 : 773.82 = 395.64 : x
  2. Step 2: Convert to fraction form
    561.69/773.82 = 395.64/x
  3. Step 3: Cross multiply
    561.69x = 773.82 × 395.64
  4. Step 4: Simplify right side
    561.69x = 306,154.14
  5. Step 5: Solve for x
    x = 306,154.14/561.69
  6. Step 6: Final answer
    x = 545.06

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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.