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Finding the Fourth Proportional to 511.63, 769.07 and 440.35

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Solution

The fourth proportional to 511.63, 769.07 and 440.35 is: 661.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.63 : 769.07 = 440.35 : x
  2. Step 2: Convert to fraction form
    511.63/769.07 = 440.35/x
  3. Step 3: Cross multiply
    511.63x = 769.07 × 440.35
  4. Step 4: Simplify right side
    511.63x = 338,657.77
  5. Step 5: Solve for x
    x = 338,657.77/511.63
  6. Step 6: Final answer
    x = 661.92

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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.