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Finding the Fourth Proportional to 1,700.80, 2,551.60 and 660.82

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Solution

The fourth proportional to 1,700.80, 2,551.60 and 660.82 is: 991.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.80 : 2,551.60 = 660.82 : x
  2. Step 2: Convert to fraction form
    1,700.80/2,551.60 = 660.82/x
  3. Step 3: Cross multiply
    1,700.80x = 2,551.60 × 660.82
  4. Step 4: Simplify right side
    1,700.80x = 1,686,148.31
  5. Step 5: Solve for x
    x = 1,686,148.31/1,700.80
  6. Step 6: Final answer
    x = 991.39

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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.