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Finding the Fourth Proportional to 637.58, 954.38 and 490.95

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Solution

The fourth proportional to 637.58, 954.38 and 490.95 is: 734.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.58 : 954.38 = 490.95 : x
  2. Step 2: Convert to fraction form
    637.58/954.38 = 490.95/x
  3. Step 3: Cross multiply
    637.58x = 954.38 × 490.95
  4. Step 4: Simplify right side
    637.58x = 468,551.38
  5. Step 5: Solve for x
    x = 468,551.38/637.58
  6. Step 6: Final answer
    x = 734.89

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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.