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Finding the Fourth Proportional to 708.75, 1,059.39 and 639.23

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Solution

The fourth proportional to 708.75, 1,059.39 and 639.23 is: 955.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.75 : 1,059.39 = 639.23 : x
  2. Step 2: Convert to fraction form
    708.75/1,059.39 = 639.23/x
  3. Step 3: Cross multiply
    708.75x = 1,059.39 × 639.23
  4. Step 4: Simplify right side
    708.75x = 677,188.57
  5. Step 5: Solve for x
    x = 677,188.57/708.75
  6. Step 6: Final answer
    x = 955.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.