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Finding the Fourth Proportional to 703.74, 970.99 and 408.95

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Solution

The fourth proportional to 703.74, 970.99 and 408.95 is: 564.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.74 : 970.99 = 408.95 : x
  2. Step 2: Convert to fraction form
    703.74/970.99 = 408.95/x
  3. Step 3: Cross multiply
    703.74x = 970.99 × 408.95
  4. Step 4: Simplify right side
    703.74x = 397,084.12
  5. Step 5: Solve for x
    x = 397,084.12/703.74
  6. Step 6: Final answer
    x = 564.25

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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.