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Finding the Fourth Proportional to 533.58, 735.88 and 347

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Solution

The fourth proportional to 533.58, 735.88 and 347 is: 478.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.58 : 735.88 = 347 : x
  2. Step 2: Convert to fraction form
    533.58/735.88 = 347/x
  3. Step 3: Cross multiply
    533.58x = 735.88 × 347
  4. Step 4: Simplify right side
    533.58x = 255,350.36
  5. Step 5: Solve for x
    x = 255,350.36/533.58
  6. Step 6: Final answer
    x = 478.56

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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.