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Finding the Fourth Proportional to 863.84, 1,294.86 and 430.04

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Solution

The fourth proportional to 863.84, 1,294.86 and 430.04 is: 644.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.84 : 1,294.86 = 430.04 : x
  2. Step 2: Convert to fraction form
    863.84/1,294.86 = 430.04/x
  3. Step 3: Cross multiply
    863.84x = 1,294.86 × 430.04
  4. Step 4: Simplify right side
    863.84x = 556,841.59
  5. Step 5: Solve for x
    x = 556,841.59/863.84
  6. Step 6: Final answer
    x = 644.61

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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.