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Finding the Fourth Proportional to 822.64, 1,232.68 and 518

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Solution

The fourth proportional to 822.64, 1,232.68 and 518 is: 776.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.64 : 1,232.68 = 518 : x
  2. Step 2: Convert to fraction form
    822.64/1,232.68 = 518/x
  3. Step 3: Cross multiply
    822.64x = 1,232.68 × 518
  4. Step 4: Simplify right side
    822.64x = 638,528.24
  5. Step 5: Solve for x
    x = 638,528.24/822.64
  6. Step 6: Final answer
    x = 776.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.