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Finding the Fourth Proportional to 997.34, 1,496.31 and 339.34

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Solution

The fourth proportional to 997.34, 1,496.31 and 339.34 is: 509.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.34 : 1,496.31 = 339.34 : x
  2. Step 2: Convert to fraction form
    997.34/1,496.31 = 339.34/x
  3. Step 3: Cross multiply
    997.34x = 1,496.31 × 339.34
  4. Step 4: Simplify right side
    997.34x = 507,757.84
  5. Step 5: Solve for x
    x = 507,757.84/997.34
  6. Step 6: Final answer
    x = 509.11

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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.