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Finding the Fourth Proportional to 645.79, 967.83 and 299.07

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Solution

The fourth proportional to 645.79, 967.83 and 299.07 is: 448.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.79 : 967.83 = 299.07 : x
  2. Step 2: Convert to fraction form
    645.79/967.83 = 299.07/x
  3. Step 3: Cross multiply
    645.79x = 967.83 × 299.07
  4. Step 4: Simplify right side
    645.79x = 289,448.92
  5. Step 5: Solve for x
    x = 289,448.92/645.79
  6. Step 6: Final answer
    x = 448.21

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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.