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Finding the Fourth Proportional to 1,282.93, 1,769.75 and 858.29

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Solution

The fourth proportional to 1,282.93, 1,769.75 and 858.29 is: 1,183.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.93 : 1,769.75 = 858.29 : x
  2. Step 2: Convert to fraction form
    1,282.93/1,769.75 = 858.29/x
  3. Step 3: Cross multiply
    1,282.93x = 1,769.75 × 858.29
  4. Step 4: Simplify right side
    1,282.93x = 1,518,958.73
  5. Step 5: Solve for x
    x = 1,518,958.73/1,282.93
  6. Step 6: Final answer
    x = 1,183.98

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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.