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Finding the Fourth Proportional to 509.78, 766.27 and 484.18

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Solution

The fourth proportional to 509.78, 766.27 and 484.18 is: 727.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.78 : 766.27 = 484.18 : x
  2. Step 2: Convert to fraction form
    509.78/766.27 = 484.18/x
  3. Step 3: Cross multiply
    509.78x = 766.27 × 484.18
  4. Step 4: Simplify right side
    509.78x = 371,012.61
  5. Step 5: Solve for x
    x = 371,012.61/509.78
  6. Step 6: Final answer
    x = 727.79

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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.