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Finding the Fourth Proportional to 686.49, 947.20 and 406.81

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Solution

The fourth proportional to 686.49, 947.20 and 406.81 is: 561.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.49 : 947.20 = 406.81 : x
  2. Step 2: Convert to fraction form
    686.49/947.20 = 406.81/x
  3. Step 3: Cross multiply
    686.49x = 947.20 × 406.81
  4. Step 4: Simplify right side
    686.49x = 385,325.70
  5. Step 5: Solve for x
    x = 385,325.70/686.49
  6. Step 6: Final answer
    x = 561.30

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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.