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Finding the Fourth Proportional to 562.09, 775.47 and 352.18

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Solution

The fourth proportional to 562.09, 775.47 and 352.18 is: 485.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.09 : 775.47 = 352.18 : x
  2. Step 2: Convert to fraction form
    562.09/775.47 = 352.18/x
  3. Step 3: Cross multiply
    562.09x = 775.47 × 352.18
  4. Step 4: Simplify right side
    562.09x = 273,100.97
  5. Step 5: Solve for x
    x = 273,100.97/562.09
  6. Step 6: Final answer
    x = 485.87

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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.