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Finding the Fourth Proportional to 691.66, 1,036.09 and 343.95

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Solution

The fourth proportional to 691.66, 1,036.09 and 343.95 is: 515.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.66 : 1,036.09 = 343.95 : x
  2. Step 2: Convert to fraction form
    691.66/1,036.09 = 343.95/x
  3. Step 3: Cross multiply
    691.66x = 1,036.09 × 343.95
  4. Step 4: Simplify right side
    691.66x = 356,363.16
  5. Step 5: Solve for x
    x = 356,363.16/691.66
  6. Step 6: Final answer
    x = 515.23

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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.