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Finding the Fourth Proportional to 464.50, 697.54 and 412.56

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Solution

The fourth proportional to 464.50, 697.54 and 412.56 is: 619.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.50 : 697.54 = 412.56 : x
  2. Step 2: Convert to fraction form
    464.50/697.54 = 412.56/x
  3. Step 3: Cross multiply
    464.50x = 697.54 × 412.56
  4. Step 4: Simplify right side
    464.50x = 287,777.10
  5. Step 5: Solve for x
    x = 287,777.10/464.50
  6. Step 6: Final answer
    x = 619.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.