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Finding the Fourth Proportional to 1,098.92, 1,646.94 and 549.74

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Solution

The fourth proportional to 1,098.92, 1,646.94 and 549.74 is: 823.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.92 : 1,646.94 = 549.74 : x
  2. Step 2: Convert to fraction form
    1,098.92/1,646.94 = 549.74/x
  3. Step 3: Cross multiply
    1,098.92x = 1,646.94 × 549.74
  4. Step 4: Simplify right side
    1,098.92x = 905,388.80
  5. Step 5: Solve for x
    x = 905,388.80/1,098.92
  6. Step 6: Final answer
    x = 823.89

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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.