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Finding the Fourth Proportional to 691.66, 1,037.49 and 205.08

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Solution

The fourth proportional to 691.66, 1,037.49 and 205.08 is: 307.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.66 : 1,037.49 = 205.08 : x
  2. Step 2: Convert to fraction form
    691.66/1,037.49 = 205.08/x
  3. Step 3: Cross multiply
    691.66x = 1,037.49 × 205.08
  4. Step 4: Simplify right side
    691.66x = 212,763.26
  5. Step 5: Solve for x
    x = 212,763.26/691.66
  6. Step 6: Final answer
    x = 307.61

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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.