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Finding the Fourth Proportional to 703.56, 970.94 and 423.68

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Solution

The fourth proportional to 703.56, 970.94 and 423.68 is: 584.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.56 : 970.94 = 423.68 : x
  2. Step 2: Convert to fraction form
    703.56/970.94 = 423.68/x
  3. Step 3: Cross multiply
    703.56x = 970.94 × 423.68
  4. Step 4: Simplify right side
    703.56x = 411,367.86
  5. Step 5: Solve for x
    x = 411,367.86/703.56
  6. Step 6: Final answer
    x = 584.69

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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.