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Finding the Fourth Proportional to 677.81, 932.97 and 480.98

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Solution

The fourth proportional to 677.81, 932.97 and 480.98 is: 662.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.81 : 932.97 = 480.98 : x
  2. Step 2: Convert to fraction form
    677.81/932.97 = 480.98/x
  3. Step 3: Cross multiply
    677.81x = 932.97 × 480.98
  4. Step 4: Simplify right side
    677.81x = 448,739.91
  5. Step 5: Solve for x
    x = 448,739.91/677.81
  6. Step 6: Final answer
    x = 662.04

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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.