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Finding the Fourth Proportional to 415.76, 570.02 and 408.34

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Solution

The fourth proportional to 415.76, 570.02 and 408.34 is: 559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.76 : 570.02 = 408.34 : x
  2. Step 2: Convert to fraction form
    415.76/570.02 = 408.34/x
  3. Step 3: Cross multiply
    415.76x = 570.02 × 408.34
  4. Step 4: Simplify right side
    415.76x = 232,760.64
  5. Step 5: Solve for x
    x = 232,760.64/415.76
  6. Step 6: Final answer
    x = 559.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.