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Finding the Fourth Proportional to 846.81, 1,261.90 and 818.94

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Solution

The fourth proportional to 846.81, 1,261.90 and 818.94 is: 1,220.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.81 : 1,261.90 = 818.94 : x
  2. Step 2: Convert to fraction form
    846.81/1,261.90 = 818.94/x
  3. Step 3: Cross multiply
    846.81x = 1,261.90 × 818.94
  4. Step 4: Simplify right side
    846.81x = 1,033,422.64
  5. Step 5: Solve for x
    x = 1,033,422.64/846.81
  6. Step 6: Final answer
    x = 1,220.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.