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Finding the Fourth Proportional to 633.85, 945.97 and 617.45

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Solution

The fourth proportional to 633.85, 945.97 and 617.45 is: 921.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.85 : 945.97 = 617.45 : x
  2. Step 2: Convert to fraction form
    633.85/945.97 = 617.45/x
  3. Step 3: Cross multiply
    633.85x = 945.97 × 617.45
  4. Step 4: Simplify right side
    633.85x = 584,089.18
  5. Step 5: Solve for x
    x = 584,089.18/633.85
  6. Step 6: Final answer
    x = 921.49

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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.