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Finding the Fourth Proportional to 822.22, 1,133.18 and 716.12

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Solution

The fourth proportional to 822.22, 1,133.18 and 716.12 is: 986.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.22 : 1,133.18 = 716.12 : x
  2. Step 2: Convert to fraction form
    822.22/1,133.18 = 716.12/x
  3. Step 3: Cross multiply
    822.22x = 1,133.18 × 716.12
  4. Step 4: Simplify right side
    822.22x = 811,492.86
  5. Step 5: Solve for x
    x = 811,492.86/822.22
  6. Step 6: Final answer
    x = 986.95

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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.