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Finding the Fourth Proportional to 608.64, 911.84 and 511.77

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Solution

The fourth proportional to 608.64, 911.84 and 511.77 is: 766.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.64 : 911.84 = 511.77 : x
  2. Step 2: Convert to fraction form
    608.64/911.84 = 511.77/x
  3. Step 3: Cross multiply
    608.64x = 911.84 × 511.77
  4. Step 4: Simplify right side
    608.64x = 466,649.80
  5. Step 5: Solve for x
    x = 466,649.80/608.64
  6. Step 6: Final answer
    x = 766.71

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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.