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Finding the Fourth Proportional to 936.62, 1,403.10 and 689.38

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Solution

The fourth proportional to 936.62, 1,403.10 and 689.38 is: 1,032.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.62 : 1,403.10 = 689.38 : x
  2. Step 2: Convert to fraction form
    936.62/1,403.10 = 689.38/x
  3. Step 3: Cross multiply
    936.62x = 1,403.10 × 689.38
  4. Step 4: Simplify right side
    936.62x = 967,269.08
  5. Step 5: Solve for x
    x = 967,269.08/936.62
  6. Step 6: Final answer
    x = 1,032.72

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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.