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Finding the Fourth Proportional to 509.27, 763.23 and 277.57

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Solution

The fourth proportional to 509.27, 763.23 and 277.57 is: 415.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.27 : 763.23 = 277.57 : x
  2. Step 2: Convert to fraction form
    509.27/763.23 = 277.57/x
  3. Step 3: Cross multiply
    509.27x = 763.23 × 277.57
  4. Step 4: Simplify right side
    509.27x = 211,845.93
  5. Step 5: Solve for x
    x = 211,845.93/509.27
  6. Step 6: Final answer
    x = 415.98

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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.