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Finding the Fourth Proportional to 509.62, 767.43 and 366.34

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Solution

The fourth proportional to 509.62, 767.43 and 366.34 is: 551.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.62 : 767.43 = 366.34 : x
  2. Step 2: Convert to fraction form
    509.62/767.43 = 366.34/x
  3. Step 3: Cross multiply
    509.62x = 767.43 × 366.34
  4. Step 4: Simplify right side
    509.62x = 281,138.47
  5. Step 5: Solve for x
    x = 281,138.47/509.62
  6. Step 6: Final answer
    x = 551.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.