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Finding the Fourth Proportional to 911.98, 1,368.42 and 565.22

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Solution

The fourth proportional to 911.98, 1,368.42 and 565.22 is: 848.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.98 : 1,368.42 = 565.22 : x
  2. Step 2: Convert to fraction form
    911.98/1,368.42 = 565.22/x
  3. Step 3: Cross multiply
    911.98x = 1,368.42 × 565.22
  4. Step 4: Simplify right side
    911.98x = 773,458.35
  5. Step 5: Solve for x
    x = 773,458.35/911.98
  6. Step 6: Final answer
    x = 848.11

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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.