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Finding the Fourth Proportional to 464.94, 693.82 and 416.34

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Solution

The fourth proportional to 464.94, 693.82 and 416.34 is: 621.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.94 : 693.82 = 416.34 : x
  2. Step 2: Convert to fraction form
    464.94/693.82 = 416.34/x
  3. Step 3: Cross multiply
    464.94x = 693.82 × 416.34
  4. Step 4: Simplify right side
    464.94x = 288,865.02
  5. Step 5: Solve for x
    x = 288,865.02/464.94
  6. Step 6: Final answer
    x = 621.30

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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.