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Finding the Fourth Proportional to 1,698.52, 2,548.87 and 724.62

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Solution

The fourth proportional to 1,698.52, 2,548.87 and 724.62 is: 1,087.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.52 : 2,548.87 = 724.62 : x
  2. Step 2: Convert to fraction form
    1,698.52/2,548.87 = 724.62/x
  3. Step 3: Cross multiply
    1,698.52x = 2,548.87 × 724.62
  4. Step 4: Simplify right side
    1,698.52x = 1,846,962.18
  5. Step 5: Solve for x
    x = 1,846,962.18/1,698.52
  6. Step 6: Final answer
    x = 1,087.40

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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.