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Finding the Fourth Proportional to 928.33, 1,280.93 and 535.21

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Solution

The fourth proportional to 928.33, 1,280.93 and 535.21 is: 738.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.33 : 1,280.93 = 535.21 : x
  2. Step 2: Convert to fraction form
    928.33/1,280.93 = 535.21/x
  3. Step 3: Cross multiply
    928.33x = 1,280.93 × 535.21
  4. Step 4: Simplify right side
    928.33x = 685,563.87
  5. Step 5: Solve for x
    x = 685,563.87/928.33
  6. Step 6: Final answer
    x = 738.49

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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.