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Finding the Fourth Proportional to 1,668.10, 2,301.89 and 959.44

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Solution

The fourth proportional to 1,668.10, 2,301.89 and 959.44 is: 1,323.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.10 : 2,301.89 = 959.44 : x
  2. Step 2: Convert to fraction form
    1,668.10/2,301.89 = 959.44/x
  3. Step 3: Cross multiply
    1,668.10x = 2,301.89 × 959.44
  4. Step 4: Simplify right side
    1,668.10x = 2,208,525.34
  5. Step 5: Solve for x
    x = 2,208,525.34/1,668.10
  6. Step 6: Final answer
    x = 1,323.98

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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.