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Finding the Fourth Proportional to 1,449.98, 2,000.52 and 889.56

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Solution

The fourth proportional to 1,449.98, 2,000.52 and 889.56 is: 1,227.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.98 : 2,000.52 = 889.56 : x
  2. Step 2: Convert to fraction form
    1,449.98/2,000.52 = 889.56/x
  3. Step 3: Cross multiply
    1,449.98x = 2,000.52 × 889.56
  4. Step 4: Simplify right side
    1,449.98x = 1,779,582.57
  5. Step 5: Solve for x
    x = 1,779,582.57/1,449.98
  6. Step 6: Final answer
    x = 1,227.32

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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.