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Finding the Fourth Proportional to 695.22, 958.66 and 432.78

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Solution

The fourth proportional to 695.22, 958.66 and 432.78 is: 596.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.22 : 958.66 = 432.78 : x
  2. Step 2: Convert to fraction form
    695.22/958.66 = 432.78/x
  3. Step 3: Cross multiply
    695.22x = 958.66 × 432.78
  4. Step 4: Simplify right side
    695.22x = 414,888.87
  5. Step 5: Solve for x
    x = 414,888.87/695.22
  6. Step 6: Final answer
    x = 596.77

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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.