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Finding the Fourth Proportional to 865.86, 1,299.33 and 455.29

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Solution

The fourth proportional to 865.86, 1,299.33 and 455.29 is: 683.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.86 : 1,299.33 = 455.29 : x
  2. Step 2: Convert to fraction form
    865.86/1,299.33 = 455.29/x
  3. Step 3: Cross multiply
    865.86x = 1,299.33 × 455.29
  4. Step 4: Simplify right side
    865.86x = 591,565.46
  5. Step 5: Solve for x
    x = 591,565.46/865.86
  6. Step 6: Final answer
    x = 683.21

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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.