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Finding the Fourth Proportional to 936.59, 1,405.75 and 474.69

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Solution

The fourth proportional to 936.59, 1,405.75 and 474.69 is: 712.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.59 : 1,405.75 = 474.69 : x
  2. Step 2: Convert to fraction form
    936.59/1,405.75 = 474.69/x
  3. Step 3: Cross multiply
    936.59x = 1,405.75 × 474.69
  4. Step 4: Simplify right side
    936.59x = 667,299.24
  5. Step 5: Solve for x
    x = 667,299.24/936.59
  6. Step 6: Final answer
    x = 712.48

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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.