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Finding the Fourth Proportional to 1,326.14, 1,987.71 and 675.50

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Solution

The fourth proportional to 1,326.14, 1,987.71 and 675.50 is: 1,012.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.14 : 1,987.71 = 675.50 : x
  2. Step 2: Convert to fraction form
    1,326.14/1,987.71 = 675.50/x
  3. Step 3: Cross multiply
    1,326.14x = 1,987.71 × 675.50
  4. Step 4: Simplify right side
    1,326.14x = 1,342,698.11
  5. Step 5: Solve for x
    x = 1,342,698.11/1,326.14
  6. Step 6: Final answer
    x = 1,012.49

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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.