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Finding the Fourth Proportional to 1,042.20, 1,559.64 and 823.50

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Solution

The fourth proportional to 1,042.20, 1,559.64 and 823.50 is: 1,232.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.20 : 1,559.64 = 823.50 : x
  2. Step 2: Convert to fraction form
    1,042.20/1,559.64 = 823.50/x
  3. Step 3: Cross multiply
    1,042.20x = 1,559.64 × 823.50
  4. Step 4: Simplify right side
    1,042.20x = 1,284,363.54
  5. Step 5: Solve for x
    x = 1,284,363.54/1,042.20
  6. Step 6: Final answer
    x = 1,232.36

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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.