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Finding the Fourth Proportional to 664.44, 916.47 and 464.91

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Solution

The fourth proportional to 664.44, 916.47 and 464.91 is: 641.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.44 : 916.47 = 464.91 : x
  2. Step 2: Convert to fraction form
    664.44/916.47 = 464.91/x
  3. Step 3: Cross multiply
    664.44x = 916.47 × 464.91
  4. Step 4: Simplify right side
    664.44x = 426,076.07
  5. Step 5: Solve for x
    x = 426,076.07/664.44
  6. Step 6: Final answer
    x = 641.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.