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Finding the Fourth Proportional to 1,021.79, 1,411.44 and 823.39

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Solution

The fourth proportional to 1,021.79, 1,411.44 and 823.39 is: 1,137.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.79 : 1,411.44 = 823.39 : x
  2. Step 2: Convert to fraction form
    1,021.79/1,411.44 = 823.39/x
  3. Step 3: Cross multiply
    1,021.79x = 1,411.44 × 823.39
  4. Step 4: Simplify right side
    1,021.79x = 1,162,173.52
  5. Step 5: Solve for x
    x = 1,162,173.52/1,021.79
  6. Step 6: Final answer
    x = 1,137.39

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1.5x scale

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.