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Finding the Fourth Proportional to 1,327.43, 1,991.25 and 597.08

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Solution

The fourth proportional to 1,327.43, 1,991.25 and 597.08 is: 895.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.43 : 1,991.25 = 597.08 : x
  2. Step 2: Convert to fraction form
    1,327.43/1,991.25 = 597.08/x
  3. Step 3: Cross multiply
    1,327.43x = 1,991.25 × 597.08
  4. Step 4: Simplify right side
    1,327.43x = 1,188,935.55
  5. Step 5: Solve for x
    x = 1,188,935.55/1,327.43
  6. Step 6: Final answer
    x = 895.67

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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.