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Finding the Fourth Proportional to 1,787.82, 2,682.12 and 555.26

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Solution

The fourth proportional to 1,787.82, 2,682.12 and 555.26 is: 833.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.82 : 2,682.12 = 555.26 : x
  2. Step 2: Convert to fraction form
    1,787.82/2,682.12 = 555.26/x
  3. Step 3: Cross multiply
    1,787.82x = 2,682.12 × 555.26
  4. Step 4: Simplify right side
    1,787.82x = 1,489,273.95
  5. Step 5: Solve for x
    x = 1,489,273.95/1,787.82
  6. Step 6: Final answer
    x = 833.01

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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.