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Finding the Fourth Proportional to 1,097.00, 1,645.54 and 366.58

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Solution

The fourth proportional to 1,097.00, 1,645.54 and 366.58 is: 549.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.00 : 1,645.54 = 366.58 : x
  2. Step 2: Convert to fraction form
    1,097.00/1,645.54 = 366.58/x
  3. Step 3: Cross multiply
    1,097.00x = 1,645.54 × 366.58
  4. Step 4: Simplify right side
    1,097.00x = 603,217.02
  5. Step 5: Solve for x
    x = 603,217.02/1,097.00
  6. Step 6: Final answer
    x = 549.88

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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.