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Finding the Fourth Proportional to 1,322.62, 1,985.75 and 673.81

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Solution

The fourth proportional to 1,322.62, 1,985.75 and 673.81 is: 1,011.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.62 : 1,985.75 = 673.81 : x
  2. Step 2: Convert to fraction form
    1,322.62/1,985.75 = 673.81/x
  3. Step 3: Cross multiply
    1,322.62x = 1,985.75 × 673.81
  4. Step 4: Simplify right side
    1,322.62x = 1,338,012.40
  5. Step 5: Solve for x
    x = 1,338,012.40/1,322.62
  6. Step 6: Final answer
    x = 1,011.64

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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.