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Finding the Fourth Proportional to 463.76, 640.40 and 380.73

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Solution

The fourth proportional to 463.76, 640.40 and 380.73 is: 525.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.76 : 640.40 = 380.73 : x
  2. Step 2: Convert to fraction form
    463.76/640.40 = 380.73/x
  3. Step 3: Cross multiply
    463.76x = 640.40 × 380.73
  4. Step 4: Simplify right side
    463.76x = 243,817.59
  5. Step 5: Solve for x
    x = 243,817.59/463.76
  6. Step 6: Final answer
    x = 525.75

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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.