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Finding the Fourth Proportional to 533.18, 794.44 and 509.59

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Solution

The fourth proportional to 533.18, 794.44 and 509.59 is: 759.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.18 : 794.44 = 509.59 : x
  2. Step 2: Convert to fraction form
    533.18/794.44 = 509.59/x
  3. Step 3: Cross multiply
    533.18x = 794.44 × 509.59
  4. Step 4: Simplify right side
    533.18x = 404,840.31
  5. Step 5: Solve for x
    x = 404,840.31/533.18
  6. Step 6: Final answer
    x = 759.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.