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Finding the Fourth Proportional to 939.67, 1,406.87 and 476.45

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Solution

The fourth proportional to 939.67, 1,406.87 and 476.45 is: 713.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.67 : 1,406.87 = 476.45 : x
  2. Step 2: Convert to fraction form
    939.67/1,406.87 = 476.45/x
  3. Step 3: Cross multiply
    939.67x = 1,406.87 × 476.45
  4. Step 4: Simplify right side
    939.67x = 670,300.86
  5. Step 5: Solve for x
    x = 670,300.86/939.67
  6. Step 6: Final answer
    x = 713.34

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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.