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Finding the Fourth Proportional to 648.96, 977.28 and 541.44

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Solution

The fourth proportional to 648.96, 977.28 and 541.44 is: 815.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.96 : 977.28 = 541.44 : x
  2. Step 2: Convert to fraction form
    648.96/977.28 = 541.44/x
  3. Step 3: Cross multiply
    648.96x = 977.28 × 541.44
  4. Step 4: Simplify right side
    648.96x = 529,138.48
  5. Step 5: Solve for x
    x = 529,138.48/648.96
  6. Step 6: Final answer
    x = 815.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.