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Finding the Fourth Proportional to 838.94, 1,159.17 and 809.37

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Solution

The fourth proportional to 838.94, 1,159.17 and 809.37 is: 1,118.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.94 : 1,159.17 = 809.37 : x
  2. Step 2: Convert to fraction form
    838.94/1,159.17 = 809.37/x
  3. Step 3: Cross multiply
    838.94x = 1,159.17 × 809.37
  4. Step 4: Simplify right side
    838.94x = 938,197.42
  5. Step 5: Solve for x
    x = 938,197.42/838.94
  6. Step 6: Final answer
    x = 1,118.31

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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.