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Finding the Fourth Proportional to 462.49, 693.86 and 298.01

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Solution

The fourth proportional to 462.49, 693.86 and 298.01 is: 447.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.49 : 693.86 = 298.01 : x
  2. Step 2: Convert to fraction form
    462.49/693.86 = 298.01/x
  3. Step 3: Cross multiply
    462.49x = 693.86 × 298.01
  4. Step 4: Simplify right side
    462.49x = 206,778.58
  5. Step 5: Solve for x
    x = 206,778.58/462.49
  6. Step 6: Final answer
    x = 447.10

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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.