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Finding the Fourth Proportional to 814.48, 1,220.44 and 567.44

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Solution

The fourth proportional to 814.48, 1,220.44 and 567.44 is: 850.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.48 : 1,220.44 = 567.44 : x
  2. Step 2: Convert to fraction form
    814.48/1,220.44 = 567.44/x
  3. Step 3: Cross multiply
    814.48x = 1,220.44 × 567.44
  4. Step 4: Simplify right side
    814.48x = 692,526.47
  5. Step 5: Solve for x
    x = 692,526.47/814.48
  6. Step 6: Final answer
    x = 850.27

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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.