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Finding the Fourth Proportional to 562.14, 774.87 and 414.54

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Solution

The fourth proportional to 562.14, 774.87 and 414.54 is: 571.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.14 : 774.87 = 414.54 : x
  2. Step 2: Convert to fraction form
    562.14/774.87 = 414.54/x
  3. Step 3: Cross multiply
    562.14x = 774.87 × 414.54
  4. Step 4: Simplify right side
    562.14x = 321,214.61
  5. Step 5: Solve for x
    x = 321,214.61/562.14
  6. Step 6: Final answer
    x = 571.41

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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.