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Finding the Fourth Proportional to 686.34, 1,029.50 and 192.79

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Solution

The fourth proportional to 686.34, 1,029.50 and 192.79 is: 289.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.34 : 1,029.50 = 192.79 : x
  2. Step 2: Convert to fraction form
    686.34/1,029.50 = 192.79/x
  3. Step 3: Cross multiply
    686.34x = 1,029.50 × 192.79
  4. Step 4: Simplify right side
    686.34x = 198,475.21
  5. Step 5: Solve for x
    x = 198,475.21/686.34
  6. Step 6: Final answer
    x = 289.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.