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Finding the Fourth Proportional to 646.29, 970.25 and 643.33

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Solution

The fourth proportional to 646.29, 970.25 and 643.33 is: 965.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.29 : 970.25 = 643.33 : x
  2. Step 2: Convert to fraction form
    646.29/970.25 = 643.33/x
  3. Step 3: Cross multiply
    646.29x = 970.25 × 643.33
  4. Step 4: Simplify right side
    646.29x = 624,190.93
  5. Step 5: Solve for x
    x = 624,190.93/646.29
  6. Step 6: Final answer
    x = 965.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.