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Finding the Fourth Proportional to 509.80, 762.93 and 314.72

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Solution

The fourth proportional to 509.80, 762.93 and 314.72 is: 470.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.80 : 762.93 = 314.72 : x
  2. Step 2: Convert to fraction form
    509.80/762.93 = 314.72/x
  3. Step 3: Cross multiply
    509.80x = 762.93 × 314.72
  4. Step 4: Simplify right side
    509.80x = 240,109.33
  5. Step 5: Solve for x
    x = 240,109.33/509.80
  6. Step 6: Final answer
    x = 470.99

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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.