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Finding the Fourth Proportional to 559.94, 839.66 and 299.89

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Solution

The fourth proportional to 559.94, 839.66 and 299.89 is: 449.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.94 : 839.66 = 299.89 : x
  2. Step 2: Convert to fraction form
    559.94/839.66 = 299.89/x
  3. Step 3: Cross multiply
    559.94x = 839.66 × 299.89
  4. Step 4: Simplify right side
    559.94x = 251,805.19
  5. Step 5: Solve for x
    x = 251,805.19/559.94
  6. Step 6: Final answer
    x = 449.70

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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.