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Finding the Fourth Proportional to 930.77, 1,283.56 and 628.60

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Solution

The fourth proportional to 930.77, 1,283.56 and 628.60 is: 866.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.77 : 1,283.56 = 628.60 : x
  2. Step 2: Convert to fraction form
    930.77/1,283.56 = 628.60/x
  3. Step 3: Cross multiply
    930.77x = 1,283.56 × 628.60
  4. Step 4: Simplify right side
    930.77x = 806,850.64
  5. Step 5: Solve for x
    x = 806,850.64/930.77
  6. Step 6: Final answer
    x = 866.86

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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.