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Finding the Fourth Proportional to 533.20, 737.76 and 464.36

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Solution

The fourth proportional to 533.20, 737.76 and 464.36 is: 642.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.20 : 737.76 = 464.36 : x
  2. Step 2: Convert to fraction form
    533.20/737.76 = 464.36/x
  3. Step 3: Cross multiply
    533.20x = 737.76 × 464.36
  4. Step 4: Simplify right side
    533.20x = 342,586.23
  5. Step 5: Solve for x
    x = 342,586.23/533.20
  6. Step 6: Final answer
    x = 642.51

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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.