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Finding the Fourth Proportional to 606.80, 837.11 and 420.73

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Solution

The fourth proportional to 606.80, 837.11 and 420.73 is: 580.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.80 : 837.11 = 420.73 : x
  2. Step 2: Convert to fraction form
    606.80/837.11 = 420.73/x
  3. Step 3: Cross multiply
    606.80x = 837.11 × 420.73
  4. Step 4: Simplify right side
    606.80x = 352,196.25
  5. Step 5: Solve for x
    x = 352,196.25/606.80
  6. Step 6: Final answer
    x = 580.41

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1.5x scale

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.