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Finding the Fourth Proportional to 1,097.66, 1,645.52 and 659.05

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Solution

The fourth proportional to 1,097.66, 1,645.52 and 659.05 is: 987.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.66 : 1,645.52 = 659.05 : x
  2. Step 2: Convert to fraction form
    1,097.66/1,645.52 = 659.05/x
  3. Step 3: Cross multiply
    1,097.66x = 1,645.52 × 659.05
  4. Step 4: Simplify right side
    1,097.66x = 1,084,472.55
  5. Step 5: Solve for x
    x = 1,084,472.55/1,097.66
  6. Step 6: Final answer
    x = 987.98

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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.