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Finding the Fourth Proportional to 1,098.20, 1,640.28 and 993.91

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Solution

The fourth proportional to 1,098.20, 1,640.28 and 993.91 is: 1,484.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.20 : 1,640.28 = 993.91 : x
  2. Step 2: Convert to fraction form
    1,098.20/1,640.28 = 993.91/x
  3. Step 3: Cross multiply
    1,098.20x = 1,640.28 × 993.91
  4. Step 4: Simplify right side
    1,098.20x = 1,630,289.62
  5. Step 5: Solve for x
    x = 1,630,289.62/1,098.20
  6. Step 6: Final answer
    x = 1,484.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.