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Finding the Fourth Proportional to 462.55, 693.77 and 154.43

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Solution

The fourth proportional to 462.55, 693.77 and 154.43 is: 231.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.55 : 693.77 = 154.43 : x
  2. Step 2: Convert to fraction form
    462.55/693.77 = 154.43/x
  3. Step 3: Cross multiply
    462.55x = 693.77 × 154.43
  4. Step 4: Simplify right side
    462.55x = 107,137.84
  5. Step 5: Solve for x
    x = 107,137.84/462.55
  6. Step 6: Final answer
    x = 231.63

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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.