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Finding the Fourth Proportional to 550.06, 828.35 and 478.78

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Solution

The fourth proportional to 550.06, 828.35 and 478.78 is: 721.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.06 : 828.35 = 478.78 : x
  2. Step 2: Convert to fraction form
    550.06/828.35 = 478.78/x
  3. Step 3: Cross multiply
    550.06x = 828.35 × 478.78
  4. Step 4: Simplify right side
    550.06x = 396,597.41
  5. Step 5: Solve for x
    x = 396,597.41/550.06
  6. Step 6: Final answer
    x = 721.01

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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.