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Finding the Fourth Proportional to 644.88, 968.48 and 618.78

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Solution

The fourth proportional to 644.88, 968.48 and 618.78 is: 929.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.88 : 968.48 = 618.78 : x
  2. Step 2: Convert to fraction form
    644.88/968.48 = 618.78/x
  3. Step 3: Cross multiply
    644.88x = 968.48 × 618.78
  4. Step 4: Simplify right side
    644.88x = 599,276.05
  5. Step 5: Solve for x
    x = 599,276.05/644.88
  6. Step 6: Final answer
    x = 929.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.