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Finding the Fourth Proportional to 822.19, 1,135.09 and 570.48

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Solution

The fourth proportional to 822.19, 1,135.09 and 570.48 is: 787.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.19 : 1,135.09 = 570.48 : x
  2. Step 2: Convert to fraction form
    822.19/1,135.09 = 570.48/x
  3. Step 3: Cross multiply
    822.19x = 1,135.09 × 570.48
  4. Step 4: Simplify right side
    822.19x = 647,546.14
  5. Step 5: Solve for x
    x = 647,546.14/822.19
  6. Step 6: Final answer
    x = 787.59

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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.