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Finding the Fourth Proportional to 1,044.30, 1,441.41 and 690.27

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Solution

The fourth proportional to 1,044.30, 1,441.41 and 690.27 is: 952.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.30 : 1,441.41 = 690.27 : x
  2. Step 2: Convert to fraction form
    1,044.30/1,441.41 = 690.27/x
  3. Step 3: Cross multiply
    1,044.30x = 1,441.41 × 690.27
  4. Step 4: Simplify right side
    1,044.30x = 994,962.08
  5. Step 5: Solve for x
    x = 994,962.08/1,044.30
  6. Step 6: Final answer
    x = 952.76

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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.