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Finding the Fourth Proportional to 662.15, 911.69 and 562.36

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Solution

The fourth proportional to 662.15, 911.69 and 562.36 is: 774.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.15 : 911.69 = 562.36 : x
  2. Step 2: Convert to fraction form
    662.15/911.69 = 562.36/x
  3. Step 3: Cross multiply
    662.15x = 911.69 × 562.36
  4. Step 4: Simplify right side
    662.15x = 512,697.99
  5. Step 5: Solve for x
    x = 512,697.99/662.15
  6. Step 6: Final answer
    x = 774.29

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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.