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Finding the Fourth Proportional to 464.86, 644.29 and 456.22

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Solution

The fourth proportional to 464.86, 644.29 and 456.22 is: 632.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.86 : 644.29 = 456.22 : x
  2. Step 2: Convert to fraction form
    464.86/644.29 = 456.22/x
  3. Step 3: Cross multiply
    464.86x = 644.29 × 456.22
  4. Step 4: Simplify right side
    464.86x = 293,937.98
  5. Step 5: Solve for x
    x = 293,937.98/464.86
  6. Step 6: Final answer
    x = 632.32

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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.