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Finding the Fourth Proportional to 562.55, 776.81 and 353.09

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Solution

The fourth proportional to 562.55, 776.81 and 353.09 is: 487.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.55 : 776.81 = 353.09 : x
  2. Step 2: Convert to fraction form
    562.55/776.81 = 353.09/x
  3. Step 3: Cross multiply
    562.55x = 776.81 × 353.09
  4. Step 4: Simplify right side
    562.55x = 274,286.67
  5. Step 5: Solve for x
    x = 274,286.67/562.55
  6. Step 6: Final answer
    x = 487.58

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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.