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Finding the Fourth Proportional to 633.02, 945.28 and 517.70

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Solution

The fourth proportional to 633.02, 945.28 and 517.70 is: 773.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.02 : 945.28 = 517.70 : x
  2. Step 2: Convert to fraction form
    633.02/945.28 = 517.70/x
  3. Step 3: Cross multiply
    633.02x = 945.28 × 517.70
  4. Step 4: Simplify right side
    633.02x = 489,371.46
  5. Step 5: Solve for x
    x = 489,371.46/633.02
  6. Step 6: Final answer
    x = 773.07

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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.