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Finding the Fourth Proportional to 1,784.31, 2,675.49 and 551.49

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Solution

The fourth proportional to 1,784.31, 2,675.49 and 551.49 is: 826.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.31 : 2,675.49 = 551.49 : x
  2. Step 2: Convert to fraction form
    1,784.31/2,675.49 = 551.49/x
  3. Step 3: Cross multiply
    1,784.31x = 2,675.49 × 551.49
  4. Step 4: Simplify right side
    1,784.31x = 1,475,505.98
  5. Step 5: Solve for x
    x = 1,475,505.98/1,784.31
  6. Step 6: Final answer
    x = 826.93

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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.