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Finding the Fourth Proportional to 640, 958.56 and 511.36

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Solution

The fourth proportional to 640, 958.56 and 511.36 is: 765.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    640 : 958.56 = 511.36 : x
  2. Step 2: Convert to fraction form
    640/958.56 = 511.36/x
  3. Step 3: Cross multiply
    640x = 958.56 × 511.36
  4. Step 4: Simplify right side
    640x = 490,169.24
  5. Step 5: Solve for x
    x = 490,169.24/640
  6. Step 6: Final answer
    x = 765.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.