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Finding the Fourth Proportional to 936.53, 1,405.17 and 474.44

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Solution

The fourth proportional to 936.53, 1,405.17 and 474.44 is: 711.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.53 : 1,405.17 = 474.44 : x
  2. Step 2: Convert to fraction form
    936.53/1,405.17 = 474.44/x
  3. Step 3: Cross multiply
    936.53x = 1,405.17 × 474.44
  4. Step 4: Simplify right side
    936.53x = 666,665.14
  5. Step 5: Solve for x
    x = 666,665.14/936.53
  6. Step 6: Final answer
    x = 711.85

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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.