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Finding the Fourth Proportional to 416.96, 575.46 and 404.21

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Solution

The fourth proportional to 416.96, 575.46 and 404.21 is: 557.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.96 : 575.46 = 404.21 : x
  2. Step 2: Convert to fraction form
    416.96/575.46 = 404.21/x
  3. Step 3: Cross multiply
    416.96x = 575.46 × 404.21
  4. Step 4: Simplify right side
    416.96x = 232,606.69
  5. Step 5: Solve for x
    x = 232,606.69/416.96
  6. Step 6: Final answer
    x = 557.86

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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.