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Finding the Fourth Proportional to 691.80, 1,036.75 and 403.44

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Solution

The fourth proportional to 691.80, 1,036.75 and 403.44 is: 604.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.80 : 1,036.75 = 403.44 : x
  2. Step 2: Convert to fraction form
    691.80/1,036.75 = 403.44/x
  3. Step 3: Cross multiply
    691.80x = 1,036.75 × 403.44
  4. Step 4: Simplify right side
    691.80x = 418,266.42
  5. Step 5: Solve for x
    x = 418,266.42/691.80
  6. Step 6: Final answer
    x = 604.61

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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.