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Finding the Fourth Proportional to 686.73, 947.69 and 372.00

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Solution

The fourth proportional to 686.73, 947.69 and 372.00 is: 513.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.73 : 947.69 = 372.00 : x
  2. Step 2: Convert to fraction form
    686.73/947.69 = 372.00/x
  3. Step 3: Cross multiply
    686.73x = 947.69 × 372.00
  4. Step 4: Simplify right side
    686.73x = 352,539.71
  5. Step 5: Solve for x
    x = 352,539.71/686.73
  6. Step 6: Final answer
    x = 513.36

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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.