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Finding the Fourth Proportional to 509.93, 762.96 and 312.33

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Solution

The fourth proportional to 509.93, 762.96 and 312.33 is: 467.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.93 : 762.96 = 312.33 : x
  2. Step 2: Convert to fraction form
    509.93/762.96 = 312.33/x
  3. Step 3: Cross multiply
    509.93x = 762.96 × 312.33
  4. Step 4: Simplify right side
    509.93x = 238,295.30
  5. Step 5: Solve for x
    x = 238,295.30/509.93
  6. Step 6: Final answer
    x = 467.31

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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.