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Finding the Fourth Proportional to 1,024.74, 1,415.48 and 828.99

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Solution

The fourth proportional to 1,024.74, 1,415.48 and 828.99 is: 1,145.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.74 : 1,415.48 = 828.99 : x
  2. Step 2: Convert to fraction form
    1,024.74/1,415.48 = 828.99/x
  3. Step 3: Cross multiply
    1,024.74x = 1,415.48 × 828.99
  4. Step 4: Simplify right side
    1,024.74x = 1,173,414.62
  5. Step 5: Solve for x
    x = 1,173,414.62/1,024.74
  6. Step 6: Final answer
    x = 1,145.09

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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.