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Finding the Fourth Proportional to 931.36, 1,395.07 and 443.92

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Solution

The fourth proportional to 931.36, 1,395.07 and 443.92 is: 664.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.36 : 1,395.07 = 443.92 : x
  2. Step 2: Convert to fraction form
    931.36/1,395.07 = 443.92/x
  3. Step 3: Cross multiply
    931.36x = 1,395.07 × 443.92
  4. Step 4: Simplify right side
    931.36x = 619,299.47
  5. Step 5: Solve for x
    x = 619,299.47/931.36
  6. Step 6: Final answer
    x = 664.94

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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.