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Finding the Fourth Proportional to 1,242.75, 1,860.35 and 828.57

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Solution

The fourth proportional to 1,242.75, 1,860.35 and 828.57 is: 1,240.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.75 : 1,860.35 = 828.57 : x
  2. Step 2: Convert to fraction form
    1,242.75/1,860.35 = 828.57/x
  3. Step 3: Cross multiply
    1,242.75x = 1,860.35 × 828.57
  4. Step 4: Simplify right side
    1,242.75x = 1,541,426.06
  5. Step 5: Solve for x
    x = 1,541,426.06/1,242.75
  6. Step 6: Final answer
    x = 1,240.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.