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Finding the Fourth Proportional to 1,326.22, 1,829.49 and 900.69

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Solution

The fourth proportional to 1,326.22, 1,829.49 and 900.69 is: 1,242.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.22 : 1,829.49 = 900.69 : x
  2. Step 2: Convert to fraction form
    1,326.22/1,829.49 = 900.69/x
  3. Step 3: Cross multiply
    1,326.22x = 1,829.49 × 900.69
  4. Step 4: Simplify right side
    1,326.22x = 1,647,798.84
  5. Step 5: Solve for x
    x = 1,647,798.84/1,326.22
  6. Step 6: Final answer
    x = 1,242.48

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1.5x scale

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.