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Finding the Fourth Proportional to 533.50, 735.78 and 346.90

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Solution

The fourth proportional to 533.50, 735.78 and 346.90 is: 478.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.50 : 735.78 = 346.90 : x
  2. Step 2: Convert to fraction form
    533.50/735.78 = 346.90/x
  3. Step 3: Cross multiply
    533.50x = 735.78 × 346.90
  4. Step 4: Simplify right side
    533.50x = 255,240.24
  5. Step 5: Solve for x
    x = 255,240.24/533.50
  6. Step 6: Final answer
    x = 478.43

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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.