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Finding the Fourth Proportional to 679.20, 936.96 and 617.76

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Solution

The fourth proportional to 679.20, 936.96 and 617.76 is: 852.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.20 : 936.96 = 617.76 : x
  2. Step 2: Convert to fraction form
    679.20/936.96 = 617.76/x
  3. Step 3: Cross multiply
    679.20x = 936.96 × 617.76
  4. Step 4: Simplify right side
    679.20x = 578,816.41
  5. Step 5: Solve for x
    x = 578,816.41/679.20
  6. Step 6: Final answer
    x = 852.20

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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.