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Finding the Fourth Proportional to 562.74, 842.91 and 319.14

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Solution

The fourth proportional to 562.74, 842.91 and 319.14 is: 478.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.74 : 842.91 = 319.14 : x
  2. Step 2: Convert to fraction form
    562.74/842.91 = 319.14/x
  3. Step 3: Cross multiply
    562.74x = 842.91 × 319.14
  4. Step 4: Simplify right side
    562.74x = 269,006.30
  5. Step 5: Solve for x
    x = 269,006.30/562.74
  6. Step 6: Final answer
    x = 478.03

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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.