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Finding the Fourth Proportional to 1,219.52, 1,828.34 and 828.50

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Solution

The fourth proportional to 1,219.52, 1,828.34 and 828.50 is: 1,242.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.52 : 1,828.34 = 828.50 : x
  2. Step 2: Convert to fraction form
    1,219.52/1,828.34 = 828.50/x
  3. Step 3: Cross multiply
    1,219.52x = 1,828.34 × 828.50
  4. Step 4: Simplify right side
    1,219.52x = 1,514,772.62
  5. Step 5: Solve for x
    x = 1,514,772.62/1,219.52
  6. Step 6: Final answer
    x = 1,242.10

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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.