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Finding the Fourth Proportional to 703.03, 970.23 and 408.19

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Solution

The fourth proportional to 703.03, 970.23 and 408.19 is: 563.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.03 : 970.23 = 408.19 : x
  2. Step 2: Convert to fraction form
    703.03/970.23 = 408.19/x
  3. Step 3: Cross multiply
    703.03x = 970.23 × 408.19
  4. Step 4: Simplify right side
    703.03x = 396,038.18
  5. Step 5: Solve for x
    x = 396,038.18/703.03
  6. Step 6: Final answer
    x = 563.33

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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.