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Finding the Fourth Proportional to 686.36, 1,027.91 and 356.42

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Solution

The fourth proportional to 686.36, 1,027.91 and 356.42 is: 533.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.36 : 1,027.91 = 356.42 : x
  2. Step 2: Convert to fraction form
    686.36/1,027.91 = 356.42/x
  3. Step 3: Cross multiply
    686.36x = 1,027.91 × 356.42
  4. Step 4: Simplify right side
    686.36x = 366,360.76
  5. Step 5: Solve for x
    x = 366,360.76/686.36
  6. Step 6: Final answer
    x = 533.78

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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.