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Finding the Fourth Proportional to 647.56, 893.40 and 426.73

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Solution

The fourth proportional to 647.56, 893.40 and 426.73 is: 588.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.56 : 893.40 = 426.73 : x
  2. Step 2: Convert to fraction form
    647.56/893.40 = 426.73/x
  3. Step 3: Cross multiply
    647.56x = 893.40 × 426.73
  4. Step 4: Simplify right side
    647.56x = 381,240.58
  5. Step 5: Solve for x
    x = 381,240.58/647.56
  6. Step 6: Final answer
    x = 588.74

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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.