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Finding the Fourth Proportional to 691.99, 1,038.03 and 229.80

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Solution

The fourth proportional to 691.99, 1,038.03 and 229.80 is: 344.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.99 : 1,038.03 = 229.80 : x
  2. Step 2: Convert to fraction form
    691.99/1,038.03 = 229.80/x
  3. Step 3: Cross multiply
    691.99x = 1,038.03 × 229.80
  4. Step 4: Simplify right side
    691.99x = 238,539.29
  5. Step 5: Solve for x
    x = 238,539.29/691.99
  6. Step 6: Final answer
    x = 344.71

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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.