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Finding the Fourth Proportional to 1,380.47, 2,072.32 and 559.40

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Solution

The fourth proportional to 1,380.47, 2,072.32 and 559.40 is: 839.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.47 : 2,072.32 = 559.40 : x
  2. Step 2: Convert to fraction form
    1,380.47/2,072.32 = 559.40/x
  3. Step 3: Cross multiply
    1,380.47x = 2,072.32 × 559.40
  4. Step 4: Simplify right side
    1,380.47x = 1,159,244.05
  5. Step 5: Solve for x
    x = 1,159,244.05/1,380.47
  6. Step 6: Final answer
    x = 839.75

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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.