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Finding the Fourth Proportional to 846.38, 1,266.41 and 548.84

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Solution

The fourth proportional to 846.38, 1,266.41 and 548.84 is: 821.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.38 : 1,266.41 = 548.84 : x
  2. Step 2: Convert to fraction form
    846.38/1,266.41 = 548.84/x
  3. Step 3: Cross multiply
    846.38x = 1,266.41 × 548.84
  4. Step 4: Simplify right side
    846.38x = 695,061.00
  5. Step 5: Solve for x
    x = 695,061.00/846.38
  6. Step 6: Final answer
    x = 821.21

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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.