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Finding the Fourth Proportional to 464.88, 644.26 and 456.24

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Solution

The fourth proportional to 464.88, 644.26 and 456.24 is: 632.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.88 : 644.26 = 456.24 : x
  2. Step 2: Convert to fraction form
    464.88/644.26 = 456.24/x
  3. Step 3: Cross multiply
    464.88x = 644.26 × 456.24
  4. Step 4: Simplify right side
    464.88x = 293,937.18
  5. Step 5: Solve for x
    x = 293,937.18/464.88
  6. Step 6: Final answer
    x = 632.29

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.