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Finding the Fourth Proportional to 648.76, 894.90 and 415.48

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Solution

The fourth proportional to 648.76, 894.90 and 415.48 is: 573.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.76 : 894.90 = 415.48 : x
  2. Step 2: Convert to fraction form
    648.76/894.90 = 415.48/x
  3. Step 3: Cross multiply
    648.76x = 894.90 × 415.48
  4. Step 4: Simplify right side
    648.76x = 371,813.05
  5. Step 5: Solve for x
    x = 371,813.05/648.76
  6. Step 6: Final answer
    x = 573.11

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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.