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Finding the Fourth Proportional to 822.77, 1,135.40 and 449.75

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Solution

The fourth proportional to 822.77, 1,135.40 and 449.75 is: 620.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.77 : 1,135.40 = 449.75 : x
  2. Step 2: Convert to fraction form
    822.77/1,135.40 = 449.75/x
  3. Step 3: Cross multiply
    822.77x = 1,135.40 × 449.75
  4. Step 4: Simplify right side
    822.77x = 510,646.15
  5. Step 5: Solve for x
    x = 510,646.15/822.77
  6. Step 6: Final answer
    x = 620.64

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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.