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Finding the Fourth Proportional to 1,325.80, 1,986.45 and 804.21

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Solution

The fourth proportional to 1,325.80, 1,986.45 and 804.21 is: 1,204.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.80 : 1,986.45 = 804.21 : x
  2. Step 2: Convert to fraction form
    1,325.80/1,986.45 = 804.21/x
  3. Step 3: Cross multiply
    1,325.80x = 1,986.45 × 804.21
  4. Step 4: Simplify right side
    1,325.80x = 1,597,522.95
  5. Step 5: Solve for x
    x = 1,597,522.95/1,325.80
  6. Step 6: Final answer
    x = 1,204.95

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1.5x scale

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.