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Finding the Fourth Proportional to 462.59, 693.90 and 154.43

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Solution

The fourth proportional to 462.59, 693.90 and 154.43 is: 231.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.59 : 693.90 = 154.43 : x
  2. Step 2: Convert to fraction form
    462.59/693.90 = 154.43/x
  3. Step 3: Cross multiply
    462.59x = 693.90 × 154.43
  4. Step 4: Simplify right side
    462.59x = 107,155.51
  5. Step 5: Solve for x
    x = 107,155.51/462.59
  6. Step 6: Final answer
    x = 231.65

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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.