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Finding the Fourth Proportional to 1,322.66, 1,823.51 and 1,097.75

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Solution

The fourth proportional to 1,322.66, 1,823.51 and 1,097.75 is: 1,513.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.66 : 1,823.51 = 1,097.75 : x
  2. Step 2: Convert to fraction form
    1,322.66/1,823.51 = 1,097.75/x
  3. Step 3: Cross multiply
    1,322.66x = 1,823.51 × 1,097.75
  4. Step 4: Simplify right side
    1,322.66x = 2,001,765.41
  5. Step 5: Solve for x
    x = 2,001,765.41/1,322.66
  6. Step 6: Final answer
    x = 1,513.44

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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.