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Finding the Fourth Proportional to 811.31, 1,119.15 and 562.77

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Solution

The fourth proportional to 811.31, 1,119.15 and 562.77 is: 776.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.31 : 1,119.15 = 562.77 : x
  2. Step 2: Convert to fraction form
    811.31/1,119.15 = 562.77/x
  3. Step 3: Cross multiply
    811.31x = 1,119.15 × 562.77
  4. Step 4: Simplify right side
    811.31x = 629,824.05
  5. Step 5: Solve for x
    x = 629,824.05/811.31
  6. Step 6: Final answer
    x = 776.31

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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.