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Finding the Fourth Proportional to 703.58, 969.80 and 563.24

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Solution

The fourth proportional to 703.58, 969.80 and 563.24 is: 776.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.58 : 969.80 = 563.24 : x
  2. Step 2: Convert to fraction form
    703.58/969.80 = 563.24/x
  3. Step 3: Cross multiply
    703.58x = 969.80 × 563.24
  4. Step 4: Simplify right side
    703.58x = 546,229.76
  5. Step 5: Solve for x
    x = 546,229.76/703.58
  6. Step 6: Final answer
    x = 776.36

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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.