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Finding the Fourth Proportional to 555.73, 766.67 and 334.55

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Solution

The fourth proportional to 555.73, 766.67 and 334.55 is: 461.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.73 : 766.67 = 334.55 : x
  2. Step 2: Convert to fraction form
    555.73/766.67 = 334.55/x
  3. Step 3: Cross multiply
    555.73x = 766.67 × 334.55
  4. Step 4: Simplify right side
    555.73x = 256,489.45
  5. Step 5: Solve for x
    x = 256,489.45/555.73
  6. Step 6: Final answer
    x = 461.54

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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.