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Finding the Fourth Proportional to 703.58, 970.90 and 408.95

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Solution

The fourth proportional to 703.58, 970.90 and 408.95 is: 564.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.58 : 970.90 = 408.95 : x
  2. Step 2: Convert to fraction form
    703.58/970.90 = 408.95/x
  3. Step 3: Cross multiply
    703.58x = 970.90 × 408.95
  4. Step 4: Simplify right side
    703.58x = 397,043.68
  5. Step 5: Solve for x
    x = 397,043.68/703.58
  6. Step 6: Final answer
    x = 564.32

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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.