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Finding the Fourth Proportional to 410.72, 570.60 and 406.96

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Solution

The fourth proportional to 410.72, 570.60 and 406.96 is: 565.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.72 : 570.60 = 406.96 : x
  2. Step 2: Convert to fraction form
    410.72/570.60 = 406.96/x
  3. Step 3: Cross multiply
    410.72x = 570.60 × 406.96
  4. Step 4: Simplify right side
    410.72x = 232,211.38
  5. Step 5: Solve for x
    x = 232,211.38/410.72
  6. Step 6: Final answer
    x = 565.38

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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.