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Finding the Fourth Proportional to 703.81, 978.07 and 696.30

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Solution

The fourth proportional to 703.81, 978.07 and 696.30 is: 967.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.81 : 978.07 = 696.30 : x
  2. Step 2: Convert to fraction form
    703.81/978.07 = 696.30/x
  3. Step 3: Cross multiply
    703.81x = 978.07 × 696.30
  4. Step 4: Simplify right side
    703.81x = 681,030.14
  5. Step 5: Solve for x
    x = 681,030.14/703.81
  6. Step 6: Final answer
    x = 967.63

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.