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Finding the Fourth Proportional to 613.49, 914.39 and 578.90

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Solution

The fourth proportional to 613.49, 914.39 and 578.90 is: 862.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.49 : 914.39 = 578.90 : x
  2. Step 2: Convert to fraction form
    613.49/914.39 = 578.90/x
  3. Step 3: Cross multiply
    613.49x = 914.39 × 578.90
  4. Step 4: Simplify right side
    613.49x = 529,340.37
  5. Step 5: Solve for x
    x = 529,340.37/613.49
  6. Step 6: Final answer
    x = 862.83

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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.