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Finding the Fourth Proportional to 648.35, 894.39 and 412.57

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Solution

The fourth proportional to 648.35, 894.39 and 412.57 is: 569.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.35 : 894.39 = 412.57 : x
  2. Step 2: Convert to fraction form
    648.35/894.39 = 412.57/x
  3. Step 3: Cross multiply
    648.35x = 894.39 × 412.57
  4. Step 4: Simplify right side
    648.35x = 368,997.86
  5. Step 5: Solve for x
    x = 368,997.86/648.35
  6. Step 6: Final answer
    x = 569.13

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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.