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Finding the Fourth Proportional to 452.71, 678.93 and 247.24

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Solution

The fourth proportional to 452.71, 678.93 and 247.24 is: 370.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.71 : 678.93 = 247.24 : x
  2. Step 2: Convert to fraction form
    452.71/678.93 = 247.24/x
  3. Step 3: Cross multiply
    452.71x = 678.93 × 247.24
  4. Step 4: Simplify right side
    452.71x = 167,858.65
  5. Step 5: Solve for x
    x = 167,858.65/452.71
  6. Step 6: Final answer
    x = 370.79

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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.