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Finding the Fourth Proportional to 846.27, 1,166.27 and 770.40

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Solution

The fourth proportional to 846.27, 1,166.27 and 770.40 is: 1,061.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.27 : 1,166.27 = 770.40 : x
  2. Step 2: Convert to fraction form
    846.27/1,166.27 = 770.40/x
  3. Step 3: Cross multiply
    846.27x = 1,166.27 × 770.40
  4. Step 4: Simplify right side
    846.27x = 898,490.56
  5. Step 5: Solve for x
    x = 898,490.56/846.27
  6. Step 6: Final answer
    x = 1,061.71

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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.