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Finding the Fourth Proportional to 1,097.58, 1,644.06 and 549.38

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Solution

The fourth proportional to 1,097.58, 1,644.06 and 549.38 is: 822.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.58 : 1,644.06 = 549.38 : x
  2. Step 2: Convert to fraction form
    1,097.58/1,644.06 = 549.38/x
  3. Step 3: Cross multiply
    1,097.58x = 1,644.06 × 549.38
  4. Step 4: Simplify right side
    1,097.58x = 903,213.68
  5. Step 5: Solve for x
    x = 903,213.68/1,097.58
  6. Step 6: Final answer
    x = 822.91

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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.