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Finding the Fourth Proportional to 464.82, 693.03 and 453.89

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Solution

The fourth proportional to 464.82, 693.03 and 453.89 is: 676.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.82 : 693.03 = 453.89 : x
  2. Step 2: Convert to fraction form
    464.82/693.03 = 453.89/x
  3. Step 3: Cross multiply
    464.82x = 693.03 × 453.89
  4. Step 4: Simplify right side
    464.82x = 314,555.92
  5. Step 5: Solve for x
    x = 314,555.92/464.82
  6. Step 6: Final answer
    x = 676.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.