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Finding the Fourth Proportional to 943.20, 1,300.20 and 648

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Solution

The fourth proportional to 943.20, 1,300.20 and 648 is: 893.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.20 : 1,300.20 = 648 : x
  2. Step 2: Convert to fraction form
    943.20/1,300.20 = 648/x
  3. Step 3: Cross multiply
    943.20x = 1,300.20 × 648
  4. Step 4: Simplify right side
    943.20x = 842,529.60
  5. Step 5: Solve for x
    x = 842,529.60/943.20
  6. Step 6: Final answer
    x = 893.27

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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.