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Finding the Fourth Proportional to 561.85, 774.51 and 395.80

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Solution

The fourth proportional to 561.85, 774.51 and 395.80 is: 545.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.85 : 774.51 = 395.80 : x
  2. Step 2: Convert to fraction form
    561.85/774.51 = 395.80/x
  3. Step 3: Cross multiply
    561.85x = 774.51 × 395.80
  4. Step 4: Simplify right side
    561.85x = 306,551.06
  5. Step 5: Solve for x
    x = 306,551.06/561.85
  6. Step 6: Final answer
    x = 545.61

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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.