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Finding the Fourth Proportional to 681.57, 940.82 and 533.61

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Solution

The fourth proportional to 681.57, 940.82 and 533.61 is: 736.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.57 : 940.82 = 533.61 : x
  2. Step 2: Convert to fraction form
    681.57/940.82 = 533.61/x
  3. Step 3: Cross multiply
    681.57x = 940.82 × 533.61
  4. Step 4: Simplify right side
    681.57x = 502,028.29
  5. Step 5: Solve for x
    x = 502,028.29/681.57
  6. Step 6: Final answer
    x = 736.58

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1.5x scale

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.