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Finding the Fourth Proportional to 863.51, 1,294.64 and 447.17

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Solution

The fourth proportional to 863.51, 1,294.64 and 447.17 is: 670.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.51 : 1,294.64 = 447.17 : x
  2. Step 2: Convert to fraction form
    863.51/1,294.64 = 447.17/x
  3. Step 3: Cross multiply
    863.51x = 1,294.64 × 447.17
  4. Step 4: Simplify right side
    863.51x = 578,915.46
  5. Step 5: Solve for x
    x = 578,915.46/863.51
  6. Step 6: Final answer
    x = 670.43

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Double scale
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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.