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Finding the Fourth Proportional to 616.75, 851.67 and 573.69

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Solution

The fourth proportional to 616.75, 851.67 and 573.69 is: 792.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.75 : 851.67 = 573.69 : x
  2. Step 2: Convert to fraction form
    616.75/851.67 = 573.69/x
  3. Step 3: Cross multiply
    616.75x = 851.67 × 573.69
  4. Step 4: Simplify right side
    616.75x = 488,594.56
  5. Step 5: Solve for x
    x = 488,594.56/616.75
  6. Step 6: Final answer
    x = 792.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.