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Finding the Fourth Proportional to 863.15, 1,292.15 and 554.06

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Solution

The fourth proportional to 863.15, 1,292.15 and 554.06 is: 829.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.15 : 1,292.15 = 554.06 : x
  2. Step 2: Convert to fraction form
    863.15/1,292.15 = 554.06/x
  3. Step 3: Cross multiply
    863.15x = 1,292.15 × 554.06
  4. Step 4: Simplify right side
    863.15x = 715,919.40
  5. Step 5: Solve for x
    x = 715,919.40/863.15
  6. Step 6: Final answer
    x = 829.43

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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.