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Finding the Fourth Proportional to 533.45, 735.62 and 346.95

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Solution

The fourth proportional to 533.45, 735.62 and 346.95 is: 478.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.45 : 735.62 = 346.95 : x
  2. Step 2: Convert to fraction form
    533.45/735.62 = 346.95/x
  3. Step 3: Cross multiply
    533.45x = 735.62 × 346.95
  4. Step 4: Simplify right side
    533.45x = 255,221.62
  5. Step 5: Solve for x
    x = 255,221.62/533.45
  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.