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Finding the Fourth Proportional to 562.08, 775.14 and 352.19

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Solution

The fourth proportional to 562.08, 775.14 and 352.19 is: 485.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.08 : 775.14 = 352.19 : x
  2. Step 2: Convert to fraction form
    562.08/775.14 = 352.19/x
  3. Step 3: Cross multiply
    562.08x = 775.14 × 352.19
  4. Step 4: Simplify right side
    562.08x = 272,992.68
  5. Step 5: Solve for x
    x = 272,992.68/562.08
  6. Step 6: Final answer
    x = 485.68

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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.