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Finding the Fourth Proportional to 681.70, 941.34 and 535

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Solution

The fourth proportional to 681.70, 941.34 and 535 is: 738.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.70 : 941.34 = 535 : x
  2. Step 2: Convert to fraction form
    681.70/941.34 = 535/x
  3. Step 3: Cross multiply
    681.70x = 941.34 × 535
  4. Step 4: Simplify right side
    681.70x = 503,616.90
  5. Step 5: Solve for x
    x = 503,616.90/681.70
  6. Step 6: Final answer
    x = 738.77

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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.