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Finding the Fourth Proportional to 1,634.35, 2,255.35 and 935.59

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Solution

The fourth proportional to 1,634.35, 2,255.35 and 935.59 is: 1,291.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.35 : 2,255.35 = 935.59 : x
  2. Step 2: Convert to fraction form
    1,634.35/2,255.35 = 935.59/x
  3. Step 3: Cross multiply
    1,634.35x = 2,255.35 × 935.59
  4. Step 4: Simplify right side
    1,634.35x = 2,110,089.71
  5. Step 5: Solve for x
    x = 2,110,089.71/1,634.35
  6. Step 6: Final answer
    x = 1,291.09

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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.