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Finding the Fourth Proportional to 533.63, 733.55 and 477.02

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Solution

The fourth proportional to 533.63, 733.55 and 477.02 is: 655.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.63 : 733.55 = 477.02 : x
  2. Step 2: Convert to fraction form
    533.63/733.55 = 477.02/x
  3. Step 3: Cross multiply
    533.63x = 733.55 × 477.02
  4. Step 4: Simplify right side
    533.63x = 349,911.97
  5. Step 5: Solve for x
    x = 349,911.97/533.63
  6. Step 6: Final answer
    x = 655.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.