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Finding the Fourth Proportional to 616.60, 849.72 and 578.80

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Solution

The fourth proportional to 616.60, 849.72 and 578.80 is: 797.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.60 : 849.72 = 578.80 : x
  2. Step 2: Convert to fraction form
    616.60/849.72 = 578.80/x
  3. Step 3: Cross multiply
    616.60x = 849.72 × 578.80
  4. Step 4: Simplify right side
    616.60x = 491,817.94
  5. Step 5: Solve for x
    x = 491,817.94/616.60
  6. Step 6: Final answer
    x = 797.63

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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.