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Finding the Fourth Proportional to 533.99, 796.74 and 521.66

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Solution

The fourth proportional to 533.99, 796.74 and 521.66 is: 778.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.99 : 796.74 = 521.66 : x
  2. Step 2: Convert to fraction form
    533.99/796.74 = 521.66/x
  3. Step 3: Cross multiply
    533.99x = 796.74 × 521.66
  4. Step 4: Simplify right side
    533.99x = 415,623.40
  5. Step 5: Solve for x
    x = 415,623.40/533.99
  6. Step 6: Final answer
    x = 778.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.