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Finding the Fourth Proportional to 509.75, 763.07 and 327.32

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Solution

The fourth proportional to 509.75, 763.07 and 327.32 is: 489.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.75 : 763.07 = 327.32 : x
  2. Step 2: Convert to fraction form
    509.75/763.07 = 327.32/x
  3. Step 3: Cross multiply
    509.75x = 763.07 × 327.32
  4. Step 4: Simplify right side
    509.75x = 249,762.62
  5. Step 5: Solve for x
    x = 249,762.62/509.75
  6. Step 6: Final answer
    x = 489.98

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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.