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Finding the Fourth Proportional to 822, 1,130.94 and 711.12

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Solution

The fourth proportional to 822, 1,130.94 and 711.12 is: 978.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    822 : 1,130.94 = 711.12 : x
  2. Step 2: Convert to fraction form
    822/1,130.94 = 711.12/x
  3. Step 3: Cross multiply
    822x = 1,130.94 × 711.12
  4. Step 4: Simplify right side
    822x = 804,234.05
  5. Step 5: Solve for x
    x = 804,234.05/822
  6. Step 6: Final answer
    x = 978.39

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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.