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Finding the Fourth Proportional to 664.98, 917.31 and 416.22

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Solution

The fourth proportional to 664.98, 917.31 and 416.22 is: 574.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.98 : 917.31 = 416.22 : x
  2. Step 2: Convert to fraction form
    664.98/917.31 = 416.22/x
  3. Step 3: Cross multiply
    664.98x = 917.31 × 416.22
  4. Step 4: Simplify right side
    664.98x = 381,802.77
  5. Step 5: Solve for x
    x = 381,802.77/664.98
  6. Step 6: Final answer
    x = 574.16

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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.