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Finding the Fourth Proportional to 997.90, 1,496.85 and 304.58

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Solution

The fourth proportional to 997.90, 1,496.85 and 304.58 is: 456.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.90 : 1,496.85 = 304.58 : x
  2. Step 2: Convert to fraction form
    997.90/1,496.85 = 304.58/x
  3. Step 3: Cross multiply
    997.90x = 1,496.85 × 304.58
  4. Step 4: Simplify right side
    997.90x = 455,903.09
  5. Step 5: Solve for x
    x = 455,903.09/997.90
  6. Step 6: Final answer
    x = 456.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.