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Finding the Fourth Proportional to 416.44, 574.96 and 403.72

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Solution

The fourth proportional to 416.44, 574.96 and 403.72 is: 557.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.44 : 574.96 = 403.72 : x
  2. Step 2: Convert to fraction form
    416.44/574.96 = 403.72/x
  3. Step 3: Cross multiply
    416.44x = 574.96 × 403.72
  4. Step 4: Simplify right side
    416.44x = 232,122.85
  5. Step 5: Solve for x
    x = 232,122.85/416.44
  6. Step 6: Final answer
    x = 557.40

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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.