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Finding the Fourth Proportional to 931.28, 1,396.56 and 353.84

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Solution

The fourth proportional to 931.28, 1,396.56 and 353.84 is: 530.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.28 : 1,396.56 = 353.84 : x
  2. Step 2: Convert to fraction form
    931.28/1,396.56 = 353.84/x
  3. Step 3: Cross multiply
    931.28x = 1,396.56 × 353.84
  4. Step 4: Simplify right side
    931.28x = 494,158.79
  5. Step 5: Solve for x
    x = 494,158.79/931.28
  6. Step 6: Final answer
    x = 530.62

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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.