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Finding the Fourth Proportional to 926.73, 1,382.91 and 828.18

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Solution

The fourth proportional to 926.73, 1,382.91 and 828.18 is: 1,235.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.73 : 1,382.91 = 828.18 : x
  2. Step 2: Convert to fraction form
    926.73/1,382.91 = 828.18/x
  3. Step 3: Cross multiply
    926.73x = 1,382.91 × 828.18
  4. Step 4: Simplify right side
    926.73x = 1,145,298.40
  5. Step 5: Solve for x
    x = 1,145,298.40/926.73
  6. Step 6: Final answer
    x = 1,235.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.