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Finding the Fourth Proportional to 1,781.90, 2,672.84 and 483.36

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Solution

The fourth proportional to 1,781.90, 2,672.84 and 483.36 is: 725.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.90 : 2,672.84 = 483.36 : x
  2. Step 2: Convert to fraction form
    1,781.90/2,672.84 = 483.36/x
  3. Step 3: Cross multiply
    1,781.90x = 2,672.84 × 483.36
  4. Step 4: Simplify right side
    1,781.90x = 1,291,943.94
  5. Step 5: Solve for x
    x = 1,291,943.94/1,781.90
  6. Step 6: Final answer
    x = 725.04

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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.