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Finding the Fourth Proportional to 2,256.80, 3,385.18 and 613.33

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Solution

The fourth proportional to 2,256.80, 3,385.18 and 613.33 is: 919.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.80 : 3,385.18 = 613.33 : x
  2. Step 2: Convert to fraction form
    2,256.80/3,385.18 = 613.33/x
  3. Step 3: Cross multiply
    2,256.80x = 3,385.18 × 613.33
  4. Step 4: Simplify right side
    2,256.80x = 2,076,237.85
  5. Step 5: Solve for x
    x = 2,076,237.85/2,256.80
  6. Step 6: Final answer
    x = 919.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.