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Finding the Fourth Proportional to 637.28, 953.75 and 380.96

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Solution

The fourth proportional to 637.28, 953.75 and 380.96 is: 570.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.28 : 953.75 = 380.96 : x
  2. Step 2: Convert to fraction form
    637.28/953.75 = 380.96/x
  3. Step 3: Cross multiply
    637.28x = 953.75 × 380.96
  4. Step 4: Simplify right side
    637.28x = 363,336.78
  5. Step 5: Solve for x
    x = 363,336.78/637.28
  6. Step 6: Final answer
    x = 570.14

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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.