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Finding the Fourth Proportional to 1,617.59, 2,425.62 and 739.84

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Solution

The fourth proportional to 1,617.59, 2,425.62 and 739.84 is: 1,109.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.59 : 2,425.62 = 739.84 : x
  2. Step 2: Convert to fraction form
    1,617.59/2,425.62 = 739.84/x
  3. Step 3: Cross multiply
    1,617.59x = 2,425.62 × 739.84
  4. Step 4: Simplify right side
    1,617.59x = 1,794,570.70
  5. Step 5: Solve for x
    x = 1,794,570.70/1,617.59
  6. Step 6: Final answer
    x = 1,109.41

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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.