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Finding the Fourth Proportional to 846.35, 1,269.22 and 383.28

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Solution

The fourth proportional to 846.35, 1,269.22 and 383.28 is: 574.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.35 : 1,269.22 = 383.28 : x
  2. Step 2: Convert to fraction form
    846.35/1,269.22 = 383.28/x
  3. Step 3: Cross multiply
    846.35x = 1,269.22 × 383.28
  4. Step 4: Simplify right side
    846.35x = 486,468.78
  5. Step 5: Solve for x
    x = 486,468.78/846.35
  6. Step 6: Final answer
    x = 574.79

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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.