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Finding the Fourth Proportional to 811.74, 1,120.98 and 563.70

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Solution

The fourth proportional to 811.74, 1,120.98 and 563.70 is: 778.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.74 : 1,120.98 = 563.70 : x
  2. Step 2: Convert to fraction form
    811.74/1,120.98 = 563.70/x
  3. Step 3: Cross multiply
    811.74x = 1,120.98 × 563.70
  4. Step 4: Simplify right side
    811.74x = 631,896.43
  5. Step 5: Solve for x
    x = 631,896.43/811.74
  6. Step 6: Final answer
    x = 778.45

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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.