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Finding the Fourth Proportional to 464.54, 693.57 and 418.46

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Solution

The fourth proportional to 464.54, 693.57 and 418.46 is: 624.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.54 : 693.57 = 418.46 : x
  2. Step 2: Convert to fraction form
    464.54/693.57 = 418.46/x
  3. Step 3: Cross multiply
    464.54x = 693.57 × 418.46
  4. Step 4: Simplify right side
    464.54x = 290,229.21
  5. Step 5: Solve for x
    x = 290,229.21/464.54
  6. Step 6: Final answer
    x = 624.77

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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.