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Finding the Fourth Proportional to 664.93, 917.35 and 412.74

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Solution

The fourth proportional to 664.93, 917.35 and 412.74 is: 569.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.93 : 917.35 = 412.74 : x
  2. Step 2: Convert to fraction form
    664.93/917.35 = 412.74/x
  3. Step 3: Cross multiply
    664.93x = 917.35 × 412.74
  4. Step 4: Simplify right side
    664.93x = 378,627.04
  5. Step 5: Solve for x
    x = 378,627.04/664.93
  6. Step 6: Final answer
    x = 569.42

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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.