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Finding the Fourth Proportional to 686.71, 947.50 and 406.96

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Solution

The fourth proportional to 686.71, 947.50 and 406.96 is: 561.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.71 : 947.50 = 406.96 : x
  2. Step 2: Convert to fraction form
    686.71/947.50 = 406.96/x
  3. Step 3: Cross multiply
    686.71x = 947.50 × 406.96
  4. Step 4: Simplify right side
    686.71x = 385,591.21
  5. Step 5: Solve for x
    x = 385,591.21/686.71
  6. Step 6: Final answer
    x = 561.50

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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.