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Finding the Fourth Proportional to 936.60, 1,405.80 and 474.90

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Solution

The fourth proportional to 936.60, 1,405.80 and 474.90 is: 712.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.60 : 1,405.80 = 474.90 : x
  2. Step 2: Convert to fraction form
    936.60/1,405.80 = 474.90/x
  3. Step 3: Cross multiply
    936.60x = 1,405.80 × 474.90
  4. Step 4: Simplify right side
    936.60x = 667,614.42
  5. Step 5: Solve for x
    x = 667,614.42/936.60
  6. Step 6: Final answer
    x = 712.81

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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.