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Finding the Fourth Proportional to 439.23, 659.08 and 285.12

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Solution

The fourth proportional to 439.23, 659.08 and 285.12 is: 427.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.23 : 659.08 = 285.12 : x
  2. Step 2: Convert to fraction form
    439.23/659.08 = 285.12/x
  3. Step 3: Cross multiply
    439.23x = 659.08 × 285.12
  4. Step 4: Simplify right side
    439.23x = 187,916.89
  5. Step 5: Solve for x
    x = 187,916.89/439.23
  6. Step 6: Final answer
    x = 427.83

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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.