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Finding the Fourth Proportional to 466.51, 648.24 and 461.45

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Solution

The fourth proportional to 466.51, 648.24 and 461.45 is: 641.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.51 : 648.24 = 461.45 : x
  2. Step 2: Convert to fraction form
    466.51/648.24 = 461.45/x
  3. Step 3: Cross multiply
    466.51x = 648.24 × 461.45
  4. Step 4: Simplify right side
    466.51x = 299,130.35
  5. Step 5: Solve for x
    x = 299,130.35/466.51
  6. Step 6: Final answer
    x = 641.21

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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.