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Finding the Fourth Proportional to 562.69, 844.22 and 380.77

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Solution

The fourth proportional to 562.69, 844.22 and 380.77 is: 571.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.69 : 844.22 = 380.77 : x
  2. Step 2: Convert to fraction form
    562.69/844.22 = 380.77/x
  3. Step 3: Cross multiply
    562.69x = 844.22 × 380.77
  4. Step 4: Simplify right side
    562.69x = 321,453.65
  5. Step 5: Solve for x
    x = 321,453.65/562.69
  6. Step 6: Final answer
    x = 571.28

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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.