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Finding the Fourth Proportional to 936.63, 1,405.82 and 474.74

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Solution

The fourth proportional to 936.63, 1,405.82 and 474.74 is: 712.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.63 : 1,405.82 = 474.74 : x
  2. Step 2: Convert to fraction form
    936.63/1,405.82 = 474.74/x
  3. Step 3: Cross multiply
    936.63x = 1,405.82 × 474.74
  4. Step 4: Simplify right side
    936.63x = 667,398.99
  5. Step 5: Solve for x
    x = 667,398.99/936.63
  6. Step 6: Final answer
    x = 712.55

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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.