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Finding the Fourth Proportional to 842.28, 1,262.79 and 567.60

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Solution

The fourth proportional to 842.28, 1,262.79 and 567.60 is: 850.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.28 : 1,262.79 = 567.60 : x
  2. Step 2: Convert to fraction form
    842.28/1,262.79 = 567.60/x
  3. Step 3: Cross multiply
    842.28x = 1,262.79 × 567.60
  4. Step 4: Simplify right side
    842.28x = 716,759.60
  5. Step 5: Solve for x
    x = 716,759.60/842.28
  6. Step 6: Final answer
    x = 850.98

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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.