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Finding the Fourth Proportional to 839.77, 1,260.46 and 378.07

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Solution

The fourth proportional to 839.77, 1,260.46 and 378.07 is: 567.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.77 : 1,260.46 = 378.07 : x
  2. Step 2: Convert to fraction form
    839.77/1,260.46 = 378.07/x
  3. Step 3: Cross multiply
    839.77x = 1,260.46 × 378.07
  4. Step 4: Simplify right side
    839.77x = 476,539.43
  5. Step 5: Solve for x
    x = 476,539.43/839.77
  6. Step 6: Final answer
    x = 567.47

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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.