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Finding the Fourth Proportional to 489.74, 677.34 and 481.55

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Solution

The fourth proportional to 489.74, 677.34 and 481.55 is: 666.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.74 : 677.34 = 481.55 : x
  2. Step 2: Convert to fraction form
    489.74/677.34 = 481.55/x
  3. Step 3: Cross multiply
    489.74x = 677.34 × 481.55
  4. Step 4: Simplify right side
    489.74x = 326,169.69
  5. Step 5: Solve for x
    x = 326,169.69/489.74
  6. Step 6: Final answer
    x = 666.01

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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.