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Finding the Fourth Proportional to 997.64, 1,496.54 and 304.37

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Solution

The fourth proportional to 997.64, 1,496.54 and 304.37 is: 456.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.64 : 1,496.54 = 304.37 : x
  2. Step 2: Convert to fraction form
    997.64/1,496.54 = 304.37/x
  3. Step 3: Cross multiply
    997.64x = 1,496.54 × 304.37
  4. Step 4: Simplify right side
    997.64x = 455,500.36
  5. Step 5: Solve for x
    x = 455,500.36/997.64
  6. Step 6: Final answer
    x = 456.58

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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.