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Finding the Fourth Proportional to 668.43, 997.76 and 617.40

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Solution

The fourth proportional to 668.43, 997.76 and 617.40 is: 921.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.43 : 997.76 = 617.40 : x
  2. Step 2: Convert to fraction form
    668.43/997.76 = 617.40/x
  3. Step 3: Cross multiply
    668.43x = 997.76 × 617.40
  4. Step 4: Simplify right side
    668.43x = 616,013.94
  5. Step 5: Solve for x
    x = 616,013.94/668.43
  6. Step 6: Final answer
    x = 921.58

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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.