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Finding the Fourth Proportional to 1,658.92, 2,289.26 and 995.78

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Solution

The fourth proportional to 1,658.92, 2,289.26 and 995.78 is: 1,374.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.92 : 2,289.26 = 995.78 : x
  2. Step 2: Convert to fraction form
    1,658.92/2,289.26 = 995.78/x
  3. Step 3: Cross multiply
    1,658.92x = 2,289.26 × 995.78
  4. Step 4: Simplify right side
    1,658.92x = 2,279,599.32
  5. Step 5: Solve for x
    x = 2,279,599.32/1,658.92
  6. Step 6: Final answer
    x = 1,374.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.