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Finding the Fourth Proportional to 884.64, 1,326.93 and 268.77

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Solution

The fourth proportional to 884.64, 1,326.93 and 268.77 is: 403.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.64 : 1,326.93 = 268.77 : x
  2. Step 2: Convert to fraction form
    884.64/1,326.93 = 268.77/x
  3. Step 3: Cross multiply
    884.64x = 1,326.93 × 268.77
  4. Step 4: Simplify right side
    884.64x = 356,638.98
  5. Step 5: Solve for x
    x = 356,638.98/884.64
  6. Step 6: Final answer
    x = 403.15

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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.