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Finding the Fourth Proportional to 511.90, 762.94 and 500.92

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Solution

The fourth proportional to 511.90, 762.94 and 500.92 is: 746.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.90 : 762.94 = 500.92 : x
  2. Step 2: Convert to fraction form
    511.90/762.94 = 500.92/x
  3. Step 3: Cross multiply
    511.90x = 762.94 × 500.92
  4. Step 4: Simplify right side
    511.90x = 382,171.90
  5. Step 5: Solve for x
    x = 382,171.90/511.90
  6. Step 6: Final answer
    x = 746.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.