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Finding the Fourth Proportional to 703.25, 970.44 and 423.59

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Solution

The fourth proportional to 703.25, 970.44 and 423.59 is: 584.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.25 : 970.44 = 423.59 : x
  2. Step 2: Convert to fraction form
    703.25/970.44 = 423.59/x
  3. Step 3: Cross multiply
    703.25x = 970.44 × 423.59
  4. Step 4: Simplify right side
    703.25x = 411,068.68
  5. Step 5: Solve for x
    x = 411,068.68/703.25
  6. Step 6: Final answer
    x = 584.53

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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.