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Finding the Fourth Proportional to 648.02, 894.57 and 415.28

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Solution

The fourth proportional to 648.02, 894.57 and 415.28 is: 573.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.02 : 894.57 = 415.28 : x
  2. Step 2: Convert to fraction form
    648.02/894.57 = 415.28/x
  3. Step 3: Cross multiply
    648.02x = 894.57 × 415.28
  4. Step 4: Simplify right side
    648.02x = 371,497.03
  5. Step 5: Solve for x
    x = 371,497.03/648.02
  6. Step 6: Final answer
    x = 573.28

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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.