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Finding the Fourth Proportional to 537.15, 805.68 and 383.79

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Solution

The fourth proportional to 537.15, 805.68 and 383.79 is: 575.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.15 : 805.68 = 383.79 : x
  2. Step 2: Convert to fraction form
    537.15/805.68 = 383.79/x
  3. Step 3: Cross multiply
    537.15x = 805.68 × 383.79
  4. Step 4: Simplify right side
    537.15x = 309,211.93
  5. Step 5: Solve for x
    x = 309,211.93/537.15
  6. Step 6: Final answer
    x = 575.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.