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Finding the Fourth Proportional to 822.35, 1,135.52 and 760.19

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Solution

The fourth proportional to 822.35, 1,135.52 and 760.19 is: 1,049.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.35 : 1,135.52 = 760.19 : x
  2. Step 2: Convert to fraction form
    822.35/1,135.52 = 760.19/x
  3. Step 3: Cross multiply
    822.35x = 1,135.52 × 760.19
  4. Step 4: Simplify right side
    822.35x = 863,204.32
  5. Step 5: Solve for x
    x = 863,204.32/822.35
  6. Step 6: Final answer
    x = 1,049.68

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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.