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Finding the Fourth Proportional to 838.49, 1,158.22 and 699.06

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Solution

The fourth proportional to 838.49, 1,158.22 and 699.06 is: 965.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.49 : 1,158.22 = 699.06 : x
  2. Step 2: Convert to fraction form
    838.49/1,158.22 = 699.06/x
  3. Step 3: Cross multiply
    838.49x = 1,158.22 × 699.06
  4. Step 4: Simplify right side
    838.49x = 809,665.27
  5. Step 5: Solve for x
    x = 809,665.27/838.49
  6. Step 6: Final answer
    x = 965.62

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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.