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Finding the Fourth Proportional to 416.53, 577.18 and 406.96

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Solution

The fourth proportional to 416.53, 577.18 and 406.96 is: 563.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.53 : 577.18 = 406.96 : x
  2. Step 2: Convert to fraction form
    416.53/577.18 = 406.96/x
  3. Step 3: Cross multiply
    416.53x = 577.18 × 406.96
  4. Step 4: Simplify right side
    416.53x = 234,889.17
  5. Step 5: Solve for x
    x = 234,889.17/416.53
  6. Step 6: Final answer
    x = 563.92

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.