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Finding the Fourth Proportional to 462.63, 693.94 and 188.65

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Solution

The fourth proportional to 462.63, 693.94 and 188.65 is: 282.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.63 : 693.94 = 188.65 : x
  2. Step 2: Convert to fraction form
    462.63/693.94 = 188.65/x
  3. Step 3: Cross multiply
    462.63x = 693.94 × 188.65
  4. Step 4: Simplify right side
    462.63x = 130,911.78
  5. Step 5: Solve for x
    x = 130,911.78/462.63
  6. Step 6: Final answer
    x = 282.97

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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.