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Finding the Fourth Proportional to 415.36, 577.04 and 411.56

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Solution

The fourth proportional to 415.36, 577.04 and 411.56 is: 571.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.36 : 577.04 = 411.56 : x
  2. Step 2: Convert to fraction form
    415.36/577.04 = 411.56/x
  3. Step 3: Cross multiply
    415.36x = 577.04 × 411.56
  4. Step 4: Simplify right side
    415.36x = 237,486.58
  5. Step 5: Solve for x
    x = 237,486.58/415.36
  6. Step 6: Final answer
    x = 571.76

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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.