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Finding the Fourth Proportional to 647.25, 893.94 and 427.17

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Solution

The fourth proportional to 647.25, 893.94 and 427.17 is: 589.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.25 : 893.94 = 427.17 : x
  2. Step 2: Convert to fraction form
    647.25/893.94 = 427.17/x
  3. Step 3: Cross multiply
    647.25x = 893.94 × 427.17
  4. Step 4: Simplify right side
    647.25x = 381,864.35
  5. Step 5: Solve for x
    x = 381,864.35/647.25
  6. Step 6: Final answer
    x = 589.98

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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.