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Finding the Fourth Proportional to 931.34, 1,396.20 and 443.72

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Solution

The fourth proportional to 931.34, 1,396.20 and 443.72 is: 665.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.34 : 1,396.20 = 443.72 : x
  2. Step 2: Convert to fraction form
    931.34/1,396.20 = 443.72/x
  3. Step 3: Cross multiply
    931.34x = 1,396.20 × 443.72
  4. Step 4: Simplify right side
    931.34x = 619,521.86
  5. Step 5: Solve for x
    x = 619,521.86/931.34
  6. Step 6: Final answer
    x = 665.19

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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.