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Finding the Fourth Proportional to 1,326.93, 1,830.40 and 828.96

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Solution

The fourth proportional to 1,326.93, 1,830.40 and 828.96 is: 1,143.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.93 : 1,830.40 = 828.96 : x
  2. Step 2: Convert to fraction form
    1,326.93/1,830.40 = 828.96/x
  3. Step 3: Cross multiply
    1,326.93x = 1,830.40 × 828.96
  4. Step 4: Simplify right side
    1,326.93x = 1,517,328.38
  5. Step 5: Solve for x
    x = 1,517,328.38/1,326.93
  6. Step 6: Final answer
    x = 1,143.49

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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.