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Finding the Fourth Proportional to 928.58, 1,273.31 and 897.53

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Solution

The fourth proportional to 928.58, 1,273.31 and 897.53 is: 1,230.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.58 : 1,273.31 = 897.53 : x
  2. Step 2: Convert to fraction form
    928.58/1,273.31 = 897.53/x
  3. Step 3: Cross multiply
    928.58x = 1,273.31 × 897.53
  4. Step 4: Simplify right side
    928.58x = 1,142,833.92
  5. Step 5: Solve for x
    x = 1,142,833.92/928.58
  6. Step 6: Final answer
    x = 1,230.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.