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Finding the Fourth Proportional to 464.79, 693.54 and 418.71

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Solution

The fourth proportional to 464.79, 693.54 and 418.71 is: 624.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.79 : 693.54 = 418.71 : x
  2. Step 2: Convert to fraction form
    464.79/693.54 = 418.71/x
  3. Step 3: Cross multiply
    464.79x = 693.54 × 418.71
  4. Step 4: Simplify right side
    464.79x = 290,392.13
  5. Step 5: Solve for x
    x = 290,392.13/464.79
  6. Step 6: Final answer
    x = 624.78

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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.