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Finding the Fourth Proportional to 601.41, 829.80 and 490.71

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Solution

The fourth proportional to 601.41, 829.80 and 490.71 is: 677.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.41 : 829.80 = 490.71 : x
  2. Step 2: Convert to fraction form
    601.41/829.80 = 490.71/x
  3. Step 3: Cross multiply
    601.41x = 829.80 × 490.71
  4. Step 4: Simplify right side
    601.41x = 407,191.16
  5. Step 5: Solve for x
    x = 407,191.16/601.41
  6. Step 6: Final answer
    x = 677.06

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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.