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Finding the Fourth Proportional to 562.65, 842.61 and 388.85

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Solution

The fourth proportional to 562.65, 842.61 and 388.85 is: 582.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.65 : 842.61 = 388.85 : x
  2. Step 2: Convert to fraction form
    562.65/842.61 = 388.85/x
  3. Step 3: Cross multiply
    562.65x = 842.61 × 388.85
  4. Step 4: Simplify right side
    562.65x = 327,649.06
  5. Step 5: Solve for x
    x = 327,649.06/562.65
  6. Step 6: Final answer
    x = 582.33

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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.