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Finding the Fourth Proportional to 649.85, 891.99 and 578.34

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Solution

The fourth proportional to 649.85, 891.99 and 578.34 is: 793.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.85 : 891.99 = 578.34 : x
  2. Step 2: Convert to fraction form
    649.85/891.99 = 578.34/x
  3. Step 3: Cross multiply
    649.85x = 891.99 × 578.34
  4. Step 4: Simplify right side
    649.85x = 515,873.50
  5. Step 5: Solve for x
    x = 515,873.50/649.85
  6. Step 6: Final answer
    x = 793.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.