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Finding the Fourth Proportional to 1,113.90, 1,668.93 and 858.54

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Solution

The fourth proportional to 1,113.90, 1,668.93 and 858.54 is: 1,286.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.90 : 1,668.93 = 858.54 : x
  2. Step 2: Convert to fraction form
    1,113.90/1,668.93 = 858.54/x
  3. Step 3: Cross multiply
    1,113.90x = 1,668.93 × 858.54
  4. Step 4: Simplify right side
    1,113.90x = 1,432,843.16
  5. Step 5: Solve for x
    x = 1,432,843.16/1,113.90
  6. Step 6: Final answer
    x = 1,286.33

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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.