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Finding the Fourth Proportional to 644.94, 966.74 and 254.78

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Solution

The fourth proportional to 644.94, 966.74 and 254.78 is: 381.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.94 : 966.74 = 254.78 : x
  2. Step 2: Convert to fraction form
    644.94/966.74 = 254.78/x
  3. Step 3: Cross multiply
    644.94x = 966.74 × 254.78
  4. Step 4: Simplify right side
    644.94x = 246,306.02
  5. Step 5: Solve for x
    x = 246,306.02/644.94
  6. Step 6: Final answer
    x = 381.91

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1.5x scale

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.