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Finding the Fourth Proportional to 607.80, 838.49 and 421.73

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Solution

The fourth proportional to 607.80, 838.49 and 421.73 is: 581.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.80 : 838.49 = 421.73 : x
  2. Step 2: Convert to fraction form
    607.80/838.49 = 421.73/x
  3. Step 3: Cross multiply
    607.80x = 838.49 × 421.73
  4. Step 4: Simplify right side
    607.80x = 353,616.39
  5. Step 5: Solve for x
    x = 353,616.39/607.80
  6. Step 6: Final answer
    x = 581.80

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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.