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Finding the Fourth Proportional to 694.61, 958.31 and 414.65

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Solution

The fourth proportional to 694.61, 958.31 and 414.65 is: 572.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.61 : 958.31 = 414.65 : x
  2. Step 2: Convert to fraction form
    694.61/958.31 = 414.65/x
  3. Step 3: Cross multiply
    694.61x = 958.31 × 414.65
  4. Step 4: Simplify right side
    694.61x = 397,363.24
  5. Step 5: Solve for x
    x = 397,363.24/694.61
  6. Step 6: Final answer
    x = 572.07

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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.