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Finding the Fourth Proportional to 562.21, 774.75 and 404.56

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Solution

The fourth proportional to 562.21, 774.75 and 404.56 is: 557.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.21 : 774.75 = 404.56 : x
  2. Step 2: Convert to fraction form
    562.21/774.75 = 404.56/x
  3. Step 3: Cross multiply
    562.21x = 774.75 × 404.56
  4. Step 4: Simplify right side
    562.21x = 313,432.86
  5. Step 5: Solve for x
    x = 313,432.86/562.21
  6. Step 6: Final answer
    x = 557.50

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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.