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Finding the Fourth Proportional to 703.21, 970.38 and 419.94

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Solution

The fourth proportional to 703.21, 970.38 and 419.94 is: 579.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.21 : 970.38 = 419.94 : x
  2. Step 2: Convert to fraction form
    703.21/970.38 = 419.94/x
  3. Step 3: Cross multiply
    703.21x = 970.38 × 419.94
  4. Step 4: Simplify right side
    703.21x = 407,505.26
  5. Step 5: Solve for x
    x = 407,505.26/703.21
  6. Step 6: Final answer
    x = 579.50

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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.