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Finding the Fourth Proportional to 846.88, 1,168.42 and 515.22

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Solution

The fourth proportional to 846.88, 1,168.42 and 515.22 is: 710.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.88 : 1,168.42 = 515.22 : x
  2. Step 2: Convert to fraction form
    846.88/1,168.42 = 515.22/x
  3. Step 3: Cross multiply
    846.88x = 1,168.42 × 515.22
  4. Step 4: Simplify right side
    846.88x = 601,993.35
  5. Step 5: Solve for x
    x = 601,993.35/846.88
  6. Step 6: Final answer
    x = 710.84

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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.