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Finding the Fourth Proportional to 881.64, 1,322.48 and 288.72

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Solution

The fourth proportional to 881.64, 1,322.48 and 288.72 is: 433.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.64 : 1,322.48 = 288.72 : x
  2. Step 2: Convert to fraction form
    881.64/1,322.48 = 288.72/x
  3. Step 3: Cross multiply
    881.64x = 1,322.48 × 288.72
  4. Step 4: Simplify right side
    881.64x = 381,827.15
  5. Step 5: Solve for x
    x = 381,827.15/881.64
  6. Step 6: Final answer
    x = 433.09

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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.