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Finding the Fourth Proportional to 846.35, 1,167.97 and 514.79

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Solution

The fourth proportional to 846.35, 1,167.97 and 514.79 is: 710.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.35 : 1,167.97 = 514.79 : x
  2. Step 2: Convert to fraction form
    846.35/1,167.97 = 514.79/x
  3. Step 3: Cross multiply
    846.35x = 1,167.97 × 514.79
  4. Step 4: Simplify right side
    846.35x = 601,253.44
  5. Step 5: Solve for x
    x = 601,253.44/846.35
  6. Step 6: Final answer
    x = 710.41

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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.