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Finding the Fourth Proportional to 686.56, 948.36 and 599.08

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Solution

The fourth proportional to 686.56, 948.36 and 599.08 is: 827.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.56 : 948.36 = 599.08 : x
  2. Step 2: Convert to fraction form
    686.56/948.36 = 599.08/x
  3. Step 3: Cross multiply
    686.56x = 948.36 × 599.08
  4. Step 4: Simplify right side
    686.56x = 568,143.51
  5. Step 5: Solve for x
    x = 568,143.51/686.56
  6. Step 6: Final answer
    x = 827.52

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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.