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Finding the Fourth Proportional to 609.86, 912.27 and 455.40

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Solution

The fourth proportional to 609.86, 912.27 and 455.40 is: 681.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.86 : 912.27 = 455.40 : x
  2. Step 2: Convert to fraction form
    609.86/912.27 = 455.40/x
  3. Step 3: Cross multiply
    609.86x = 912.27 × 455.40
  4. Step 4: Simplify right side
    609.86x = 415,449.47
  5. Step 5: Solve for x
    x = 415,449.47/609.86
  6. Step 6: Final answer
    x = 681.22

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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.