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Finding the Fourth Proportional to 842.23, 1,264.42 and 566.36

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Solution

The fourth proportional to 842.23, 1,264.42 and 566.36 is: 850.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.23 : 1,264.42 = 566.36 : x
  2. Step 2: Convert to fraction form
    842.23/1,264.42 = 566.36/x
  3. Step 3: Cross multiply
    842.23x = 1,264.42 × 566.36
  4. Step 4: Simplify right side
    842.23x = 716,109.17
  5. Step 5: Solve for x
    x = 716,109.17/842.23
  6. Step 6: Final answer
    x = 850.26

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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.