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Finding the Fourth Proportional to 805.45, 1,207.26 and 414.85

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Solution

The fourth proportional to 805.45, 1,207.26 and 414.85 is: 621.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.45 : 1,207.26 = 414.85 : x
  2. Step 2: Convert to fraction form
    805.45/1,207.26 = 414.85/x
  3. Step 3: Cross multiply
    805.45x = 1,207.26 × 414.85
  4. Step 4: Simplify right side
    805.45x = 500,831.81
  5. Step 5: Solve for x
    x = 500,831.81/805.45
  6. Step 6: Final answer
    x = 621.80

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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.