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Finding the Fourth Proportional to 822.76, 1,135.26 and 713.08

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Solution

The fourth proportional to 822.76, 1,135.26 and 713.08 is: 983.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.76 : 1,135.26 = 713.08 : x
  2. Step 2: Convert to fraction form
    822.76/1,135.26 = 713.08/x
  3. Step 3: Cross multiply
    822.76x = 1,135.26 × 713.08
  4. Step 4: Simplify right side
    822.76x = 809,531.20
  5. Step 5: Solve for x
    x = 809,531.20/822.76
  6. Step 6: Final answer
    x = 983.92

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1.5x scale

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.