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Finding the Fourth Proportional to 562.19, 842.69 and 367.31

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Solution

The fourth proportional to 562.19, 842.69 and 367.31 is: 550.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.19 : 842.69 = 367.31 : x
  2. Step 2: Convert to fraction form
    562.19/842.69 = 367.31/x
  3. Step 3: Cross multiply
    562.19x = 842.69 × 367.31
  4. Step 4: Simplify right side
    562.19x = 309,522.41
  5. Step 5: Solve for x
    x = 309,522.41/562.19
  6. Step 6: Final answer
    x = 550.57

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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.