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Finding the Fourth Proportional to 590.12, 884.78 and 300.95

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Solution

The fourth proportional to 590.12, 884.78 and 300.95 is: 451.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.12 : 884.78 = 300.95 : x
  2. Step 2: Convert to fraction form
    590.12/884.78 = 300.95/x
  3. Step 3: Cross multiply
    590.12x = 884.78 × 300.95
  4. Step 4: Simplify right side
    590.12x = 266,273.04
  5. Step 5: Solve for x
    x = 266,273.04/590.12
  6. Step 6: Final answer
    x = 451.22

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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.