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Finding the Fourth Proportional to 473.46, 711.81 and 366.54

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Solution

The fourth proportional to 473.46, 711.81 and 366.54 is: 551.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.46 : 711.81 = 366.54 : x
  2. Step 2: Convert to fraction form
    473.46/711.81 = 366.54/x
  3. Step 3: Cross multiply
    473.46x = 711.81 × 366.54
  4. Step 4: Simplify right side
    473.46x = 260,906.84
  5. Step 5: Solve for x
    x = 260,906.84/473.46
  6. Step 6: Final answer
    x = 551.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.