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Finding the Fourth Proportional to 695.32, 1,041.37 and 633.80

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Solution

The fourth proportional to 695.32, 1,041.37 and 633.80 is: 949.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.32 : 1,041.37 = 633.80 : x
  2. Step 2: Convert to fraction form
    695.32/1,041.37 = 633.80/x
  3. Step 3: Cross multiply
    695.32x = 1,041.37 × 633.80
  4. Step 4: Simplify right side
    695.32x = 660,021.32
  5. Step 5: Solve for x
    x = 660,021.32/695.32
  6. Step 6: Final answer
    x = 949.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.