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Finding the Fourth Proportional to 703.56, 969.81 and 563.24

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Solution

The fourth proportional to 703.56, 969.81 and 563.24 is: 776.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.56 : 969.81 = 563.24 : x
  2. Step 2: Convert to fraction form
    703.56/969.81 = 563.24/x
  3. Step 3: Cross multiply
    703.56x = 969.81 × 563.24
  4. Step 4: Simplify right side
    703.56x = 546,230.94
  5. Step 5: Solve for x
    x = 546,230.94/703.56
  6. Step 6: Final answer
    x = 776.38

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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.