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Finding the Fourth Proportional to 863.94, 1,294.76 and 498.54

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Solution

The fourth proportional to 863.94, 1,294.76 and 498.54 is: 747.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.94 : 1,294.76 = 498.54 : x
  2. Step 2: Convert to fraction form
    863.94/1,294.76 = 498.54/x
  3. Step 3: Cross multiply
    863.94x = 1,294.76 × 498.54
  4. Step 4: Simplify right side
    863.94x = 645,489.65
  5. Step 5: Solve for x
    x = 645,489.65/863.94
  6. Step 6: Final answer
    x = 747.15

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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.