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Finding the Fourth Proportional to 928.56, 1,281.42 and 535.71

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Solution

The fourth proportional to 928.56, 1,281.42 and 535.71 is: 739.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.56 : 1,281.42 = 535.71 : x
  2. Step 2: Convert to fraction form
    928.56/1,281.42 = 535.71/x
  3. Step 3: Cross multiply
    928.56x = 1,281.42 × 535.71
  4. Step 4: Simplify right side
    928.56x = 686,469.51
  5. Step 5: Solve for x
    x = 686,469.51/928.56
  6. Step 6: Final answer
    x = 739.28

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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.