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Finding the Fourth Proportional to 648.46, 894.63 and 415.72

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Solution

The fourth proportional to 648.46, 894.63 and 415.72 is: 573.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.46 : 894.63 = 415.72 : x
  2. Step 2: Convert to fraction form
    648.46/894.63 = 415.72/x
  3. Step 3: Cross multiply
    648.46x = 894.63 × 415.72
  4. Step 4: Simplify right side
    648.46x = 371,913.35
  5. Step 5: Solve for x
    x = 371,913.35/648.46
  6. Step 6: Final answer
    x = 573.54

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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.