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Finding the Fourth Proportional to 719.94, 994.86 and 563.04

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Solution

The fourth proportional to 719.94, 994.86 and 563.04 is: 778.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.94 : 994.86 = 563.04 : x
  2. Step 2: Convert to fraction form
    719.94/994.86 = 563.04/x
  3. Step 3: Cross multiply
    719.94x = 994.86 × 563.04
  4. Step 4: Simplify right side
    719.94x = 560,145.97
  5. Step 5: Solve for x
    x = 560,145.97/719.94
  6. Step 6: Final answer
    x = 778.05

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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.