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Finding the Fourth Proportional to 664.90, 997.38 and 340.90

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Solution

The fourth proportional to 664.90, 997.38 and 340.90 is: 511.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.90 : 997.38 = 340.90 : x
  2. Step 2: Convert to fraction form
    664.90/997.38 = 340.90/x
  3. Step 3: Cross multiply
    664.90x = 997.38 × 340.90
  4. Step 4: Simplify right side
    664.90x = 340,006.84
  5. Step 5: Solve for x
    x = 340,006.84/664.90
  6. Step 6: Final answer
    x = 511.37

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1.5x scale

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.