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Finding the Fourth Proportional to 415.26, 571.80 and 406.14

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Solution

The fourth proportional to 415.26, 571.80 and 406.14 is: 559.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.26 : 571.80 = 406.14 : x
  2. Step 2: Convert to fraction form
    415.26/571.80 = 406.14/x
  3. Step 3: Cross multiply
    415.26x = 571.80 × 406.14
  4. Step 4: Simplify right side
    415.26x = 232,232.28
  5. Step 5: Solve for x
    x = 232,232.28/415.26
  6. Step 6: Final answer
    x = 559.25

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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.