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Finding the Fourth Proportional to 533.77, 736.91 and 475.45

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Solution

The fourth proportional to 533.77, 736.91 and 475.45 is: 656.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.77 : 736.91 = 475.45 : x
  2. Step 2: Convert to fraction form
    533.77/736.91 = 475.45/x
  3. Step 3: Cross multiply
    533.77x = 736.91 × 475.45
  4. Step 4: Simplify right side
    533.77x = 350,361.48
  5. Step 5: Solve for x
    x = 350,361.48/533.77
  6. Step 6: Final answer
    x = 656.39

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1.5x scale

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.