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Finding the Fourth Proportional to 845.85, 1,269.08 and 383.27

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Solution

The fourth proportional to 845.85, 1,269.08 and 383.27 is: 575.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.85 : 1,269.08 = 383.27 : x
  2. Step 2: Convert to fraction form
    845.85/1,269.08 = 383.27/x
  3. Step 3: Cross multiply
    845.85x = 1,269.08 × 383.27
  4. Step 4: Simplify right side
    845.85x = 486,404.42
  5. Step 5: Solve for x
    x = 486,404.42/845.85
  6. Step 6: Final answer
    x = 575.05

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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.