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Finding the Fourth Proportional to 452.57, 678.85 and 144.43

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Solution

The fourth proportional to 452.57, 678.85 and 144.43 is: 216.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.57 : 678.85 = 144.43 : x
  2. Step 2: Convert to fraction form
    452.57/678.85 = 144.43/x
  3. Step 3: Cross multiply
    452.57x = 678.85 × 144.43
  4. Step 4: Simplify right side
    452.57x = 98,048.07
  5. Step 5: Solve for x
    x = 98,048.07/452.57
  6. Step 6: Final answer
    x = 216.65

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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.