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Finding the Fourth Proportional to 695.03, 958.77 and 563.81

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Solution

The fourth proportional to 695.03, 958.77 and 563.81 is: 777.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.03 : 958.77 = 563.81 : x
  2. Step 2: Convert to fraction form
    695.03/958.77 = 563.81/x
  3. Step 3: Cross multiply
    695.03x = 958.77 × 563.81
  4. Step 4: Simplify right side
    695.03x = 540,559.32
  5. Step 5: Solve for x
    x = 540,559.32/695.03
  6. Step 6: Final answer
    x = 777.76

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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.