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Finding the Fourth Proportional to 931.92, 1,396.72 and 383.80

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Solution

The fourth proportional to 931.92, 1,396.72 and 383.80 is: 575.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.92 : 1,396.72 = 383.80 : x
  2. Step 2: Convert to fraction form
    931.92/1,396.72 = 383.80/x
  3. Step 3: Cross multiply
    931.92x = 1,396.72 × 383.80
  4. Step 4: Simplify right side
    931.92x = 536,061.14
  5. Step 5: Solve for x
    x = 536,061.14/931.92
  6. Step 6: Final answer
    x = 575.22

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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.