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Finding the Fourth Proportional to 930.25, 1,283.75 and 516.25

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Solution

The fourth proportional to 930.25, 1,283.75 and 516.25 is: 712.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.25 : 1,283.75 = 516.25 : x
  2. Step 2: Convert to fraction form
    930.25/1,283.75 = 516.25/x
  3. Step 3: Cross multiply
    930.25x = 1,283.75 × 516.25
  4. Step 4: Simplify right side
    930.25x = 662,735.94
  5. Step 5: Solve for x
    x = 662,735.94/930.25
  6. Step 6: Final answer
    x = 712.43

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Double scale
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1.5x scale

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.