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Finding the Fourth Proportional to 533.82, 738.05 and 409.89

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Solution

The fourth proportional to 533.82, 738.05 and 409.89 is: 566.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.82 : 738.05 = 409.89 : x
  2. Step 2: Convert to fraction form
    533.82/738.05 = 409.89/x
  3. Step 3: Cross multiply
    533.82x = 738.05 × 409.89
  4. Step 4: Simplify right side
    533.82x = 302,515.88
  5. Step 5: Solve for x
    x = 302,515.88/533.82
  6. Step 6: Final answer
    x = 566.70

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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.