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Finding the Fourth Proportional to 533.32, 735.77 and 393.77

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Solution

The fourth proportional to 533.32, 735.77 and 393.77 is: 543.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.32 : 735.77 = 393.77 : x
  2. Step 2: Convert to fraction form
    533.32/735.77 = 393.77/x
  3. Step 3: Cross multiply
    533.32x = 735.77 × 393.77
  4. Step 4: Simplify right side
    533.32x = 289,724.02
  5. Step 5: Solve for x
    x = 289,724.02/533.32
  6. Step 6: Final answer
    x = 543.25

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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.