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Finding the Fourth Proportional to 691.11, 1,035 and 382.23

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Solution

The fourth proportional to 691.11, 1,035 and 382.23 is: 572.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.11 : 1,035 = 382.23 : x
  2. Step 2: Convert to fraction form
    691.11/1,035 = 382.23/x
  3. Step 3: Cross multiply
    691.11x = 1,035 × 382.23
  4. Step 4: Simplify right side
    691.11x = 395,608.05
  5. Step 5: Solve for x
    x = 395,608.05/691.11
  6. Step 6: Final answer
    x = 572.42

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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.