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Finding the Fourth Proportional to 811.42, 1,119.62 and 562.68

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Solution

The fourth proportional to 811.42, 1,119.62 and 562.68 is: 776.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.42 : 1,119.62 = 562.68 : x
  2. Step 2: Convert to fraction form
    811.42/1,119.62 = 562.68/x
  3. Step 3: Cross multiply
    811.42x = 1,119.62 × 562.68
  4. Step 4: Simplify right side
    811.42x = 629,989.19
  5. Step 5: Solve for x
    x = 629,989.19/811.42
  6. Step 6: Final answer
    x = 776.41

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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.