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Finding the Fourth Proportional to 682.07, 935.93 and 619.70

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Solution

The fourth proportional to 682.07, 935.93 and 619.70 is: 850.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.07 : 935.93 = 619.70 : x
  2. Step 2: Convert to fraction form
    682.07/935.93 = 619.70/x
  3. Step 3: Cross multiply
    682.07x = 935.93 × 619.70
  4. Step 4: Simplify right side
    682.07x = 579,988.04
  5. Step 5: Solve for x
    x = 579,988.04/682.07
  6. Step 6: Final answer
    x = 850.34

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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.