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Finding the Fourth Proportional to 939.33, 1,406.86 and 784.42

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Solution

The fourth proportional to 939.33, 1,406.86 and 784.42 is: 1,174.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.33 : 1,406.86 = 784.42 : x
  2. Step 2: Convert to fraction form
    939.33/1,406.86 = 784.42/x
  3. Step 3: Cross multiply
    939.33x = 1,406.86 × 784.42
  4. Step 4: Simplify right side
    939.33x = 1,103,569.12
  5. Step 5: Solve for x
    x = 1,103,569.12/939.33
  6. Step 6: Final answer
    x = 1,174.85

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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.