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Finding the Fourth Proportional to 606.81, 837.17 and 397.10

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Solution

The fourth proportional to 606.81, 837.17 and 397.10 is: 547.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.81 : 837.17 = 397.10 : x
  2. Step 2: Convert to fraction form
    606.81/837.17 = 397.10/x
  3. Step 3: Cross multiply
    606.81x = 837.17 × 397.10
  4. Step 4: Simplify right side
    606.81x = 332,440.21
  5. Step 5: Solve for x
    x = 332,440.21/606.81
  6. Step 6: Final answer
    x = 547.85

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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.