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Finding the Fourth Proportional to 839.87, 1,260.65 and 346.57

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Solution

The fourth proportional to 839.87, 1,260.65 and 346.57 is: 520.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.87 : 1,260.65 = 346.57 : x
  2. Step 2: Convert to fraction form
    839.87/1,260.65 = 346.57/x
  3. Step 3: Cross multiply
    839.87x = 1,260.65 × 346.57
  4. Step 4: Simplify right side
    839.87x = 436,907.74
  5. Step 5: Solve for x
    x = 436,907.74/839.87
  6. Step 6: Final answer
    x = 520.21

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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.