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Finding the Fourth Proportional to 1,325.63, 1,988.27 and 733.75

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Solution

The fourth proportional to 1,325.63, 1,988.27 and 733.75 is: 1,100.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.63 : 1,988.27 = 733.75 : x
  2. Step 2: Convert to fraction form
    1,325.63/1,988.27 = 733.75/x
  3. Step 3: Cross multiply
    1,325.63x = 1,988.27 × 733.75
  4. Step 4: Simplify right side
    1,325.63x = 1,458,886.36
  5. Step 5: Solve for x
    x = 1,458,886.36/1,325.63
  6. Step 6: Final answer
    x = 1,100.52

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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.