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Finding the Fourth Proportional to 863.36, 1,294.08 and 478.40

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Solution

The fourth proportional to 863.36, 1,294.08 and 478.40 is: 717.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.36 : 1,294.08 = 478.40 : x
  2. Step 2: Convert to fraction form
    863.36/1,294.08 = 478.40/x
  3. Step 3: Cross multiply
    863.36x = 1,294.08 × 478.40
  4. Step 4: Simplify right side
    863.36x = 619,087.87
  5. Step 5: Solve for x
    x = 619,087.87/863.36
  6. Step 6: Final answer
    x = 717.07

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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.