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Finding the Fourth Proportional to 511.38, 768.69 and 440.10

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Solution

The fourth proportional to 511.38, 768.69 and 440.10 is: 661.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.38 : 768.69 = 440.10 : x
  2. Step 2: Convert to fraction form
    511.38/768.69 = 440.10/x
  3. Step 3: Cross multiply
    511.38x = 768.69 × 440.10
  4. Step 4: Simplify right side
    511.38x = 338,300.47
  5. Step 5: Solve for x
    x = 338,300.47/511.38
  6. Step 6: Final answer
    x = 661.54

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1.5x scale

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.