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Finding the Fourth Proportional to 559.52, 838.90 and 299.30

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Solution

The fourth proportional to 559.52, 838.90 and 299.30 is: 448.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.52 : 838.90 = 299.30 : x
  2. Step 2: Convert to fraction form
    559.52/838.90 = 299.30/x
  3. Step 3: Cross multiply
    559.52x = 838.90 × 299.30
  4. Step 4: Simplify right side
    559.52x = 251,082.77
  5. Step 5: Solve for x
    x = 251,082.77/559.52
  6. Step 6: Final answer
    x = 448.75

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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.