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Finding the Fourth Proportional to 928.81, 1,283.43 and 666.37

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Solution

The fourth proportional to 928.81, 1,283.43 and 666.37 is: 920.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.81 : 1,283.43 = 666.37 : x
  2. Step 2: Convert to fraction form
    928.81/1,283.43 = 666.37/x
  3. Step 3: Cross multiply
    928.81x = 1,283.43 × 666.37
  4. Step 4: Simplify right side
    928.81x = 855,239.25
  5. Step 5: Solve for x
    x = 855,239.25/928.81
  6. Step 6: Final answer
    x = 920.79

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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.