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Finding the Fourth Proportional to 811.19, 1,119.95 and 562.42

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Solution

The fourth proportional to 811.19, 1,119.95 and 562.42 is: 776.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.19 : 1,119.95 = 562.42 : x
  2. Step 2: Convert to fraction form
    811.19/1,119.95 = 562.42/x
  3. Step 3: Cross multiply
    811.19x = 1,119.95 × 562.42
  4. Step 4: Simplify right side
    811.19x = 629,882.28
  5. Step 5: Solve for x
    x = 629,882.28/811.19
  6. Step 6: Final answer
    x = 776.49

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