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Finding the Fourth Proportional to 703.54, 970.95 and 408.90

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Solution

The fourth proportional to 703.54, 970.95 and 408.90 is: 564.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.54 : 970.95 = 408.90 : x
  2. Step 2: Convert to fraction form
    703.54/970.95 = 408.90/x
  3. Step 3: Cross multiply
    703.54x = 970.95 × 408.90
  4. Step 4: Simplify right side
    703.54x = 397,021.46
  5. Step 5: Solve for x
    x = 397,021.46/703.54
  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.