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Finding the Fourth Proportional to 601.68, 829.62 and 490.80

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Solution

The fourth proportional to 601.68, 829.62 and 490.80 is: 676.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.68 : 829.62 = 490.80 : x
  2. Step 2: Convert to fraction form
    601.68/829.62 = 490.80/x
  3. Step 3: Cross multiply
    601.68x = 829.62 × 490.80
  4. Step 4: Simplify right side
    601.68x = 407,177.50
  5. Step 5: Solve for x
    x = 407,177.50/601.68
  6. Step 6: Final answer
    x = 676.73

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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.