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Finding the Fourth Proportional to 2,005.65, 3,008.16 and 544.68

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Solution

The fourth proportional to 2,005.65, 3,008.16 and 544.68 is: 816.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.65 : 3,008.16 = 544.68 : x
  2. Step 2: Convert to fraction form
    2,005.65/3,008.16 = 544.68/x
  3. Step 3: Cross multiply
    2,005.65x = 3,008.16 × 544.68
  4. Step 4: Simplify right side
    2,005.65x = 1,638,484.59
  5. Step 5: Solve for x
    x = 1,638,484.59/2,005.65
  6. Step 6: Final answer
    x = 816.93

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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.