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Finding the Fourth Proportional to 489.86, 740.35 and 481.36

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Solution

The fourth proportional to 489.86, 740.35 and 481.36 is: 727.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.86 : 740.35 = 481.36 : x
  2. Step 2: Convert to fraction form
    489.86/740.35 = 481.36/x
  3. Step 3: Cross multiply
    489.86x = 740.35 × 481.36
  4. Step 4: Simplify right side
    489.86x = 356,371.82
  5. Step 5: Solve for x
    x = 356,371.82/489.86
  6. Step 6: Final answer
    x = 727.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.