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Finding the Fourth Proportional to 939.06, 1,406.46 and 452.46

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Solution

The fourth proportional to 939.06, 1,406.46 and 452.46 is: 677.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.06 : 1,406.46 = 452.46 : x
  2. Step 2: Convert to fraction form
    939.06/1,406.46 = 452.46/x
  3. Step 3: Cross multiply
    939.06x = 1,406.46 × 452.46
  4. Step 4: Simplify right side
    939.06x = 636,366.89
  5. Step 5: Solve for x
    x = 636,366.89/939.06
  6. Step 6: Final answer
    x = 677.66

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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.