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Finding the Fourth Proportional to 562.05, 775.17 and 385.11

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Solution

The fourth proportional to 562.05, 775.17 and 385.11 is: 531.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.05 : 775.17 = 385.11 : x
  2. Step 2: Convert to fraction form
    562.05/775.17 = 385.11/x
  3. Step 3: Cross multiply
    562.05x = 775.17 × 385.11
  4. Step 4: Simplify right side
    562.05x = 298,525.72
  5. Step 5: Solve for x
    x = 298,525.72/562.05
  6. Step 6: Final answer
    x = 531.14

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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.