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Finding the Fourth Proportional to 693.74, 958.19 and 506.94

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Solution

The fourth proportional to 693.74, 958.19 and 506.94 is: 700.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.74 : 958.19 = 506.94 : x
  2. Step 2: Convert to fraction form
    693.74/958.19 = 506.94/x
  3. Step 3: Cross multiply
    693.74x = 958.19 × 506.94
  4. Step 4: Simplify right side
    693.74x = 485,744.84
  5. Step 5: Solve for x
    x = 485,744.84/693.74
  6. Step 6: Final answer
    x = 700.18

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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.