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Finding the Fourth Proportional to 1,103.90, 1,652.63 and 957.49

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Solution

The fourth proportional to 1,103.90, 1,652.63 and 957.49 is: 1,433.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.90 : 1,652.63 = 957.49 : x
  2. Step 2: Convert to fraction form
    1,103.90/1,652.63 = 957.49/x
  3. Step 3: Cross multiply
    1,103.90x = 1,652.63 × 957.49
  4. Step 4: Simplify right side
    1,103.90x = 1,582,367.78
  5. Step 5: Solve for x
    x = 1,582,367.78/1,103.90
  6. Step 6: Final answer
    x = 1,433.44

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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.