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Finding the Fourth Proportional to 664.84, 918.48 and 469.36

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Solution

The fourth proportional to 664.84, 918.48 and 469.36 is: 648.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.84 : 918.48 = 469.36 : x
  2. Step 2: Convert to fraction form
    664.84/918.48 = 469.36/x
  3. Step 3: Cross multiply
    664.84x = 918.48 × 469.36
  4. Step 4: Simplify right side
    664.84x = 431,097.77
  5. Step 5: Solve for x
    x = 431,097.77/664.84
  6. Step 6: Final answer
    x = 648.42

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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.