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Finding the Fourth Proportional to 931.21, 1,396.98 and 383.78

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Solution

The fourth proportional to 931.21, 1,396.98 and 383.78 is: 575.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.21 : 1,396.98 = 383.78 : x
  2. Step 2: Convert to fraction form
    931.21/1,396.98 = 383.78/x
  3. Step 3: Cross multiply
    931.21x = 1,396.98 × 383.78
  4. Step 4: Simplify right side
    931.21x = 536,132.98
  5. Step 5: Solve for x
    x = 536,132.98/931.21
  6. Step 6: Final answer
    x = 575.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.