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Finding the Fourth Proportional to 847.21, 1,269.76 and 384.85

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Solution

The fourth proportional to 847.21, 1,269.76 and 384.85 is: 576.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.21 : 1,269.76 = 384.85 : x
  2. Step 2: Convert to fraction form
    847.21/1,269.76 = 384.85/x
  3. Step 3: Cross multiply
    847.21x = 1,269.76 × 384.85
  4. Step 4: Simplify right side
    847.21x = 488,665.21
  5. Step 5: Solve for x
    x = 488,665.21/847.21
  6. Step 6: Final answer
    x = 576.80

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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.