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Finding the Fourth Proportional to 562.75, 776.38 and 352.84

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Solution

The fourth proportional to 562.75, 776.38 and 352.84 is: 486.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.75 : 776.38 = 352.84 : x
  2. Step 2: Convert to fraction form
    562.75/776.38 = 352.84/x
  3. Step 3: Cross multiply
    562.75x = 776.38 × 352.84
  4. Step 4: Simplify right side
    562.75x = 273,937.92
  5. Step 5: Solve for x
    x = 273,937.92/562.75
  6. Step 6: Final answer
    x = 486.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.