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Finding the Fourth Proportional to 939.07, 1,407.52 and 505.31

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Solution

The fourth proportional to 939.07, 1,407.52 and 505.31 is: 757.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.07 : 1,407.52 = 505.31 : x
  2. Step 2: Convert to fraction form
    939.07/1,407.52 = 505.31/x
  3. Step 3: Cross multiply
    939.07x = 1,407.52 × 505.31
  4. Step 4: Simplify right side
    939.07x = 711,236.19
  5. Step 5: Solve for x
    x = 711,236.19/939.07
  6. Step 6: Final answer
    x = 757.39

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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.