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Finding the Fourth Proportional to 847.48, 1,271.22 and 824.44

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Solution

The fourth proportional to 847.48, 1,271.22 and 824.44 is: 1,236.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.48 : 1,271.22 = 824.44 : x
  2. Step 2: Convert to fraction form
    847.48/1,271.22 = 824.44/x
  3. Step 3: Cross multiply
    847.48x = 1,271.22 × 824.44
  4. Step 4: Simplify right side
    847.48x = 1,048,044.62
  5. Step 5: Solve for x
    x = 1,048,044.62/847.48
  6. Step 6: Final answer
    x = 1,236.66

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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.