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Finding the Fourth Proportional to 1,669.71, 2,303.94 and 961.58

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Solution

The fourth proportional to 1,669.71, 2,303.94 and 961.58 is: 1,326.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.71 : 2,303.94 = 961.58 : x
  2. Step 2: Convert to fraction form
    1,669.71/2,303.94 = 961.58/x
  3. Step 3: Cross multiply
    1,669.71x = 2,303.94 × 961.58
  4. Step 4: Simplify right side
    1,669.71x = 2,215,427.02
  5. Step 5: Solve for x
    x = 2,215,427.02/1,669.71
  6. Step 6: Final answer
    x = 1,326.83

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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.