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Finding the Fourth Proportional to 1,689.94, 2,532.07 and 1,200.57

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Solution

The fourth proportional to 1,689.94, 2,532.07 and 1,200.57 is: 1,798.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.94 : 2,532.07 = 1,200.57 : x
  2. Step 2: Convert to fraction form
    1,689.94/2,532.07 = 1,200.57/x
  3. Step 3: Cross multiply
    1,689.94x = 2,532.07 × 1,200.57
  4. Step 4: Simplify right side
    1,689.94x = 3,039,927.28
  5. Step 5: Solve for x
    x = 3,039,927.28/1,689.94
  6. Step 6: Final answer
    x = 1,798.84

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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.