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Finding the Fourth Proportional to 415.56, 570.41 and 397.74

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Solution

The fourth proportional to 415.56, 570.41 and 397.74 is: 545.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.56 : 570.41 = 397.74 : x
  2. Step 2: Convert to fraction form
    415.56/570.41 = 397.74/x
  3. Step 3: Cross multiply
    415.56x = 570.41 × 397.74
  4. Step 4: Simplify right side
    415.56x = 226,876.52
  5. Step 5: Solve for x
    x = 226,876.52/415.56
  6. Step 6: Final answer
    x = 545.95

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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.