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Finding the Fourth Proportional to 647.04, 893.31 and 426.38

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Solution

The fourth proportional to 647.04, 893.31 and 426.38 is: 588.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.04 : 893.31 = 426.38 : x
  2. Step 2: Convert to fraction form
    647.04/893.31 = 426.38/x
  3. Step 3: Cross multiply
    647.04x = 893.31 × 426.38
  4. Step 4: Simplify right side
    647.04x = 380,885.05
  5. Step 5: Solve for x
    x = 380,885.05/647.04
  6. Step 6: Final answer
    x = 588.66

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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.