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Finding the Fourth Proportional to 1,290.97, 1,936.62 and 469.63

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Solution

The fourth proportional to 1,290.97, 1,936.62 and 469.63 is: 704.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.97 : 1,936.62 = 469.63 : x
  2. Step 2: Convert to fraction form
    1,290.97/1,936.62 = 469.63/x
  3. Step 3: Cross multiply
    1,290.97x = 1,936.62 × 469.63
  4. Step 4: Simplify right side
    1,290.97x = 909,494.85
  5. Step 5: Solve for x
    x = 909,494.85/1,290.97
  6. Step 6: Final answer
    x = 704.51

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1.5x scale

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.