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Finding the Fourth Proportional to 533.98, 736.77 and 347.59

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Solution

The fourth proportional to 533.98, 736.77 and 347.59 is: 479.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.98 : 736.77 = 347.59 : x
  2. Step 2: Convert to fraction form
    533.98/736.77 = 347.59/x
  3. Step 3: Cross multiply
    533.98x = 736.77 × 347.59
  4. Step 4: Simplify right side
    533.98x = 256,093.88
  5. Step 5: Solve for x
    x = 256,093.88/533.98
  6. Step 6: Final answer
    x = 479.59

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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.