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Finding the Fourth Proportional to 686.23, 947.00 and 371.50

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Solution

The fourth proportional to 686.23, 947.00 and 371.50 is: 512.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.23 : 947.00 = 371.50 : x
  2. Step 2: Convert to fraction form
    686.23/947.00 = 371.50/x
  3. Step 3: Cross multiply
    686.23x = 947.00 × 371.50
  4. Step 4: Simplify right side
    686.23x = 351,812.41
  5. Step 5: Solve for x
    x = 351,812.41/686.23
  6. Step 6: Final answer
    x = 512.67

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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.