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Finding the Fourth Proportional to 846.81, 1,268.99 and 414.27

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Solution

The fourth proportional to 846.81, 1,268.99 and 414.27 is: 620.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.81 : 1,268.99 = 414.27 : x
  2. Step 2: Convert to fraction form
    846.81/1,268.99 = 414.27/x
  3. Step 3: Cross multiply
    846.81x = 1,268.99 × 414.27
  4. Step 4: Simplify right side
    846.81x = 525,702.42
  5. Step 5: Solve for x
    x = 525,702.42/846.81
  6. Step 6: Final answer
    x = 620.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.