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Finding the Fourth Proportional to 464.78, 697.36 and 302.06

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Solution

The fourth proportional to 464.78, 697.36 and 302.06 is: 453.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.78 : 697.36 = 302.06 : x
  2. Step 2: Convert to fraction form
    464.78/697.36 = 302.06/x
  3. Step 3: Cross multiply
    464.78x = 697.36 × 302.06
  4. Step 4: Simplify right side
    464.78x = 210,644.56
  5. Step 5: Solve for x
    x = 210,644.56/464.78
  6. Step 6: Final answer
    x = 453.21

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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.