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Finding the Fourth Proportional to 839.87, 1,159.14 and 490.67

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Solution

The fourth proportional to 839.87, 1,159.14 and 490.67 is: 677.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.87 : 1,159.14 = 490.67 : x
  2. Step 2: Convert to fraction form
    839.87/1,159.14 = 490.67/x
  3. Step 3: Cross multiply
    839.87x = 1,159.14 × 490.67
  4. Step 4: Simplify right side
    839.87x = 568,755.22
  5. Step 5: Solve for x
    x = 568,755.22/839.87
  6. Step 6: Final answer
    x = 677.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.