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Finding the Fourth Proportional to 695.09, 958.92 and 458.74

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Solution

The fourth proportional to 695.09, 958.92 and 458.74 is: 632.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.09 : 958.92 = 458.74 : x
  2. Step 2: Convert to fraction form
    695.09/958.92 = 458.74/x
  3. Step 3: Cross multiply
    695.09x = 958.92 × 458.74
  4. Step 4: Simplify right side
    695.09x = 439,894.96
  5. Step 5: Solve for x
    x = 439,894.96/695.09
  6. Step 6: Final answer
    x = 632.86

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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.