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Finding the Fourth Proportional to 562.34, 842.48 and 388.52

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Solution

The fourth proportional to 562.34, 842.48 and 388.52 is: 582.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.34 : 842.48 = 388.52 : x
  2. Step 2: Convert to fraction form
    562.34/842.48 = 388.52/x
  3. Step 3: Cross multiply
    562.34x = 842.48 × 388.52
  4. Step 4: Simplify right side
    562.34x = 327,320.98
  5. Step 5: Solve for x
    x = 327,320.98/562.34
  6. Step 6: Final answer
    x = 582.07

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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.