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Finding the Fourth Proportional to 1,668.68, 2,503.73 and 975.33

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Solution

The fourth proportional to 1,668.68, 2,503.73 and 975.33 is: 1,463.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.68 : 2,503.73 = 975.33 : x
  2. Step 2: Convert to fraction form
    1,668.68/2,503.73 = 975.33/x
  3. Step 3: Cross multiply
    1,668.68x = 2,503.73 × 975.33
  4. Step 4: Simplify right side
    1,668.68x = 2,441,958.10
  5. Step 5: Solve for x
    x = 2,441,958.10/1,668.68
  6. Step 6: Final answer
    x = 1,463.41

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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.