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Finding the Fourth Proportional to 1,354.54, 2,031.54 and 380.44

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Solution

The fourth proportional to 1,354.54, 2,031.54 and 380.44 is: 570.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.54 : 2,031.54 = 380.44 : x
  2. Step 2: Convert to fraction form
    1,354.54/2,031.54 = 380.44/x
  3. Step 3: Cross multiply
    1,354.54x = 2,031.54 × 380.44
  4. Step 4: Simplify right side
    1,354.54x = 772,879.08
  5. Step 5: Solve for x
    x = 772,879.08/1,354.54
  6. Step 6: Final answer
    x = 570.58

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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.