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Finding the Fourth Proportional to 511.40, 762.19 and 500.42

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Solution

The fourth proportional to 511.40, 762.19 and 500.42 is: 745.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.40 : 762.19 = 500.42 : x
  2. Step 2: Convert to fraction form
    511.40/762.19 = 500.42/x
  3. Step 3: Cross multiply
    511.40x = 762.19 × 500.42
  4. Step 4: Simplify right side
    511.40x = 381,415.12
  5. Step 5: Solve for x
    x = 381,415.12/511.40
  6. Step 6: Final answer
    x = 745.83

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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.