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Finding the Fourth Proportional to 691.91, 1,037.71 and 204.80

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Solution

The fourth proportional to 691.91, 1,037.71 and 204.80 is: 307.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.91 : 1,037.71 = 204.80 : x
  2. Step 2: Convert to fraction form
    691.91/1,037.71 = 204.80/x
  3. Step 3: Cross multiply
    691.91x = 1,037.71 × 204.80
  4. Step 4: Simplify right side
    691.91x = 212,518.08
  5. Step 5: Solve for x
    x = 212,518.08/691.91
  6. Step 6: Final answer
    x = 307.15

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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.