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Finding the Fourth Proportional to 949.14, 1,423.82 and 299.83

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Solution

The fourth proportional to 949.14, 1,423.82 and 299.83 is: 449.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.14 : 1,423.82 = 299.83 : x
  2. Step 2: Convert to fraction form
    949.14/1,423.82 = 299.83/x
  3. Step 3: Cross multiply
    949.14x = 1,423.82 × 299.83
  4. Step 4: Simplify right side
    949.14x = 426,898.89
  5. Step 5: Solve for x
    x = 426,898.89/949.14
  6. Step 6: Final answer
    x = 449.77

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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.