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Finding the Fourth Proportional to 703.15, 970.25 and 423.37

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Solution

The fourth proportional to 703.15, 970.25 and 423.37 is: 584.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.15 : 970.25 = 423.37 : x
  2. Step 2: Convert to fraction form
    703.15/970.25 = 423.37/x
  3. Step 3: Cross multiply
    703.15x = 970.25 × 423.37
  4. Step 4: Simplify right side
    703.15x = 410,770.76
  5. Step 5: Solve for x
    x = 410,770.76/703.15
  6. Step 6: Final answer
    x = 584.19

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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.