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Finding the Fourth Proportional to 838.49, 1,158.17 and 681.35

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Solution

The fourth proportional to 838.49, 1,158.17 and 681.35 is: 941.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.49 : 1,158.17 = 681.35 : x
  2. Step 2: Convert to fraction form
    838.49/1,158.17 = 681.35/x
  3. Step 3: Cross multiply
    838.49x = 1,158.17 × 681.35
  4. Step 4: Simplify right side
    838.49x = 789,109.93
  5. Step 5: Solve for x
    x = 789,109.93/838.49
  6. Step 6: Final answer
    x = 941.11

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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.