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Finding the Fourth Proportional to 1,012.27, 1,396.97 and 564.18

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Solution

The fourth proportional to 1,012.27, 1,396.97 and 564.18 is: 778.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.27 : 1,396.97 = 564.18 : x
  2. Step 2: Convert to fraction form
    1,012.27/1,396.97 = 564.18/x
  3. Step 3: Cross multiply
    1,012.27x = 1,396.97 × 564.18
  4. Step 4: Simplify right side
    1,012.27x = 788,142.53
  5. Step 5: Solve for x
    x = 788,142.53/1,012.27
  6. Step 6: Final answer
    x = 778.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.