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Finding the Fourth Proportional to 680.40, 936.36 and 656.64

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Solution

The fourth proportional to 680.40, 936.36 and 656.64 is: 903.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.40 : 936.36 = 656.64 : x
  2. Step 2: Convert to fraction form
    680.40/936.36 = 656.64/x
  3. Step 3: Cross multiply
    680.40x = 936.36 × 656.64
  4. Step 4: Simplify right side
    680.40x = 614,851.43
  5. Step 5: Solve for x
    x = 614,851.43/680.40
  6. Step 6: Final answer
    x = 903.66

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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.