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Finding the Fourth Proportional to 846.84, 1,269.90 and 261.69

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Solution

The fourth proportional to 846.84, 1,269.90 and 261.69 is: 392.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.84 : 1,269.90 = 261.69 : x
  2. Step 2: Convert to fraction form
    846.84/1,269.90 = 261.69/x
  3. Step 3: Cross multiply
    846.84x = 1,269.90 × 261.69
  4. Step 4: Simplify right side
    846.84x = 332,320.13
  5. Step 5: Solve for x
    x = 332,320.13/846.84
  6. Step 6: Final answer
    x = 392.42

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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.