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Finding the Fourth Proportional to 680.81, 933.05 and 659.95

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Solution

The fourth proportional to 680.81, 933.05 and 659.95 is: 904.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.81 : 933.05 = 659.95 : x
  2. Step 2: Convert to fraction form
    680.81/933.05 = 659.95/x
  3. Step 3: Cross multiply
    680.81x = 933.05 × 659.95
  4. Step 4: Simplify right side
    680.81x = 615,765.66
  5. Step 5: Solve for x
    x = 615,765.66/680.81
  6. Step 6: Final answer
    x = 904.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.