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Finding the Fourth Proportional to 1,284.75, 1,925.59 and 668.11

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Solution

The fourth proportional to 1,284.75, 1,925.59 and 668.11 is: 1,001.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.75 : 1,925.59 = 668.11 : x
  2. Step 2: Convert to fraction form
    1,284.75/1,925.59 = 668.11/x
  3. Step 3: Cross multiply
    1,284.75x = 1,925.59 × 668.11
  4. Step 4: Simplify right side
    1,284.75x = 1,286,505.93
  5. Step 5: Solve for x
    x = 1,286,505.93/1,284.75
  6. Step 6: Final answer
    x = 1,001.37

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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.