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Finding the Fourth Proportional to 506.06, 693.81 and 496.84

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Solution

The fourth proportional to 506.06, 693.81 and 496.84 is: 681.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.06 : 693.81 = 496.84 : x
  2. Step 2: Convert to fraction form
    506.06/693.81 = 496.84/x
  3. Step 3: Cross multiply
    506.06x = 693.81 × 496.84
  4. Step 4: Simplify right side
    506.06x = 344,706.61
  5. Step 5: Solve for x
    x = 344,706.61/506.06
  6. Step 6: Final answer
    x = 681.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.