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Finding the Fourth Proportional to 686.81, 948.99 and 540.60

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Solution

The fourth proportional to 686.81, 948.99 and 540.60 is: 746.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.81 : 948.99 = 540.60 : x
  2. Step 2: Convert to fraction form
    686.81/948.99 = 540.60/x
  3. Step 3: Cross multiply
    686.81x = 948.99 × 540.60
  4. Step 4: Simplify right side
    686.81x = 513,023.99
  5. Step 5: Solve for x
    x = 513,023.99/686.81
  6. Step 6: Final answer
    x = 746.97

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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.