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Finding the Fourth Proportional to 881.47, 1,322.59 and 419.58

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Solution

The fourth proportional to 881.47, 1,322.59 and 419.58 is: 629.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.47 : 1,322.59 = 419.58 : x
  2. Step 2: Convert to fraction form
    881.47/1,322.59 = 419.58/x
  3. Step 3: Cross multiply
    881.47x = 1,322.59 × 419.58
  4. Step 4: Simplify right side
    881.47x = 554,932.31
  5. Step 5: Solve for x
    x = 554,932.31/881.47
  6. Step 6: Final answer
    x = 629.55

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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.