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Finding the Fourth Proportional to 642.84, 893.27 and 636.17

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Solution

The fourth proportional to 642.84, 893.27 and 636.17 is: 883.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.84 : 893.27 = 636.17 : x
  2. Step 2: Convert to fraction form
    642.84/893.27 = 636.17/x
  3. Step 3: Cross multiply
    642.84x = 893.27 × 636.17
  4. Step 4: Simplify right side
    642.84x = 568,263.93
  5. Step 5: Solve for x
    x = 568,263.93/642.84
  6. Step 6: Final answer
    x = 883.99

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.