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Finding the Fourth Proportional to 693.82, 957.48 and 414.07

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Solution

The fourth proportional to 693.82, 957.48 and 414.07 is: 571.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.82 : 957.48 = 414.07 : x
  2. Step 2: Convert to fraction form
    693.82/957.48 = 414.07/x
  3. Step 3: Cross multiply
    693.82x = 957.48 × 414.07
  4. Step 4: Simplify right side
    693.82x = 396,463.74
  5. Step 5: Solve for x
    x = 396,463.74/693.82
  6. Step 6: Final answer
    x = 571.42

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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.