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Finding the Fourth Proportional to 464.88, 693.73 and 440.29

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Solution

The fourth proportional to 464.88, 693.73 and 440.29 is: 657.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.88 : 693.73 = 440.29 : x
  2. Step 2: Convert to fraction form
    464.88/693.73 = 440.29/x
  3. Step 3: Cross multiply
    464.88x = 693.73 × 440.29
  4. Step 4: Simplify right side
    464.88x = 305,442.38
  5. Step 5: Solve for x
    x = 305,442.38/464.88
  6. Step 6: Final answer
    x = 657.03

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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.