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Finding the Fourth Proportional to 2,005.49, 3,008.25 and 544.61

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Solution

The fourth proportional to 2,005.49, 3,008.25 and 544.61 is: 816.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.49 : 3,008.25 = 544.61 : x
  2. Step 2: Convert to fraction form
    2,005.49/3,008.25 = 544.61/x
  3. Step 3: Cross multiply
    2,005.49x = 3,008.25 × 544.61
  4. Step 4: Simplify right side
    2,005.49x = 1,638,307.99
  5. Step 5: Solve for x
    x = 1,638,307.99/2,005.49
  6. Step 6: Final answer
    x = 816.91

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1.5x scale

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.