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Finding the Fourth Proportional to 2,256.61, 3,384.91 and 613.40

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Solution

The fourth proportional to 2,256.61, 3,384.91 and 613.40 is: 920.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.61 : 3,384.91 = 613.40 : x
  2. Step 2: Convert to fraction form
    2,256.61/3,384.91 = 613.40/x
  3. Step 3: Cross multiply
    2,256.61x = 3,384.91 × 613.40
  4. Step 4: Simplify right side
    2,256.61x = 2,076,286.87
  5. Step 5: Solve for x
    x = 2,076,286.87/2,256.61
  6. Step 6: Final answer
    x = 920.09

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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.