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Finding the Fourth Proportional to 537.99, 805.84 and 406.54

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Solution

The fourth proportional to 537.99, 805.84 and 406.54 is: 608.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.99 : 805.84 = 406.54 : x
  2. Step 2: Convert to fraction form
    537.99/805.84 = 406.54/x
  3. Step 3: Cross multiply
    537.99x = 805.84 × 406.54
  4. Step 4: Simplify right side
    537.99x = 327,606.19
  5. Step 5: Solve for x
    x = 327,606.19/537.99
  6. Step 6: Final answer
    x = 608.94

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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.