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Finding the Fourth Proportional to 703.58, 970.72 and 423.68

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Solution

The fourth proportional to 703.58, 970.72 and 423.68 is: 584.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.58 : 970.72 = 423.68 : x
  2. Step 2: Convert to fraction form
    703.58/970.72 = 423.68/x
  3. Step 3: Cross multiply
    703.58x = 970.72 × 423.68
  4. Step 4: Simplify right side
    703.58x = 411,268.74
  5. Step 5: Solve for x
    x = 411,268.74/703.58
  6. Step 6: Final answer
    x = 584.54

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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.