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Finding the Fourth Proportional to 686.20, 1,027.93 and 425.58

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Solution

The fourth proportional to 686.20, 1,027.93 and 425.58 is: 637.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.20 : 1,027.93 = 425.58 : x
  2. Step 2: Convert to fraction form
    686.20/1,027.93 = 425.58/x
  3. Step 3: Cross multiply
    686.20x = 1,027.93 × 425.58
  4. Step 4: Simplify right side
    686.20x = 437,466.45
  5. Step 5: Solve for x
    x = 437,466.45/686.20
  6. Step 6: Final answer
    x = 637.52

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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.