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Finding the Fourth Proportional to 452.99, 678.92 and 247.05

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Solution

The fourth proportional to 452.99, 678.92 and 247.05 is: 370.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.99 : 678.92 = 247.05 : x
  2. Step 2: Convert to fraction form
    452.99/678.92 = 247.05/x
  3. Step 3: Cross multiply
    452.99x = 678.92 × 247.05
  4. Step 4: Simplify right side
    452.99x = 167,725.95
  5. Step 5: Solve for x
    x = 167,725.95/452.99
  6. Step 6: Final answer
    x = 370.26

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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.