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Finding the Fourth Proportional to 1,658.91, 2,488.38 and 685.05

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Solution

The fourth proportional to 1,658.91, 2,488.38 and 685.05 is: 1,027.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.91 : 2,488.38 = 685.05 : x
  2. Step 2: Convert to fraction form
    1,658.91/2,488.38 = 685.05/x
  3. Step 3: Cross multiply
    1,658.91x = 2,488.38 × 685.05
  4. Step 4: Simplify right side
    1,658.91x = 1,704,664.72
  5. Step 5: Solve for x
    x = 1,704,664.72/1,658.91
  6. Step 6: Final answer
    x = 1,027.58

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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.