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Finding the Fourth Proportional to 665.46, 993.34 and 617.28

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Solution

The fourth proportional to 665.46, 993.34 and 617.28 is: 921.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.46 : 993.34 = 617.28 : x
  2. Step 2: Convert to fraction form
    665.46/993.34 = 617.28/x
  3. Step 3: Cross multiply
    665.46x = 993.34 × 617.28
  4. Step 4: Simplify right side
    665.46x = 613,168.92
  5. Step 5: Solve for x
    x = 613,168.92/665.46
  6. Step 6: Final answer
    x = 921.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.