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Finding the Fourth Proportional to 549, 758.34 and 383.40

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Solution

The fourth proportional to 549, 758.34 and 383.40 is: 529.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    549 : 758.34 = 383.40 : x
  2. Step 2: Convert to fraction form
    549/758.34 = 383.40/x
  3. Step 3: Cross multiply
    549x = 758.34 × 383.40
  4. Step 4: Simplify right side
    549x = 290,747.56
  5. Step 5: Solve for x
    x = 290,747.56/549
  6. Step 6: Final answer
    x = 529.59

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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.