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Finding the Fourth Proportional to 609.11, 916.76 and 455.86

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Solution

The fourth proportional to 609.11, 916.76 and 455.86 is: 686.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.11 : 916.76 = 455.86 : x
  2. Step 2: Convert to fraction form
    609.11/916.76 = 455.86/x
  3. Step 3: Cross multiply
    609.11x = 916.76 × 455.86
  4. Step 4: Simplify right side
    609.11x = 417,914.21
  5. Step 5: Solve for x
    x = 417,914.21/609.11
  6. Step 6: Final answer
    x = 686.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.