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Finding the Fourth Proportional to 637.04, 954.44 and 419.76

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Solution

The fourth proportional to 637.04, 954.44 and 419.76 is: 628.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.04 : 954.44 = 419.76 : x
  2. Step 2: Convert to fraction form
    637.04/954.44 = 419.76/x
  3. Step 3: Cross multiply
    637.04x = 954.44 × 419.76
  4. Step 4: Simplify right side
    637.04x = 400,635.73
  5. Step 5: Solve for x
    x = 400,635.73/637.04
  6. Step 6: Final answer
    x = 628.90

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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.