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Finding the Fourth Proportional to 687.12, 948.66 and 613.31

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Solution

The fourth proportional to 687.12, 948.66 and 613.31 is: 846.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.12 : 948.66 = 613.31 : x
  2. Step 2: Convert to fraction form
    687.12/948.66 = 613.31/x
  3. Step 3: Cross multiply
    687.12x = 948.66 × 613.31
  4. Step 4: Simplify right side
    687.12x = 581,819.07
  5. Step 5: Solve for x
    x = 581,819.07/687.12
  6. Step 6: Final answer
    x = 846.75

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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.