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Finding the Fourth Proportional to 865.94, 1,299.82 and 455.20

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Solution

The fourth proportional to 865.94, 1,299.82 and 455.20 is: 683.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.94 : 1,299.82 = 455.20 : x
  2. Step 2: Convert to fraction form
    865.94/1,299.82 = 455.20/x
  3. Step 3: Cross multiply
    865.94x = 1,299.82 × 455.20
  4. Step 4: Simplify right side
    865.94x = 591,678.06
  5. Step 5: Solve for x
    x = 591,678.06/865.94
  6. Step 6: Final answer
    x = 683.28

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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.