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Finding the Fourth Proportional to 936.91, 1,404.60 and 705.34

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Solution

The fourth proportional to 936.91, 1,404.60 and 705.34 is: 1,057.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.91 : 1,404.60 = 705.34 : x
  2. Step 2: Convert to fraction form
    936.91/1,404.60 = 705.34/x
  3. Step 3: Cross multiply
    936.91x = 1,404.60 × 705.34
  4. Step 4: Simplify right side
    936.91x = 990,720.56
  5. Step 5: Solve for x
    x = 990,720.56/936.91
  6. Step 6: Final answer
    x = 1,057.43

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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.