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Finding the Fourth Proportional to 523.44, 783.78 and 340.27

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Solution

The fourth proportional to 523.44, 783.78 and 340.27 is: 509.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.44 : 783.78 = 340.27 : x
  2. Step 2: Convert to fraction form
    523.44/783.78 = 340.27/x
  3. Step 3: Cross multiply
    523.44x = 783.78 × 340.27
  4. Step 4: Simplify right side
    523.44x = 266,696.82
  5. Step 5: Solve for x
    x = 266,696.82/523.44
  6. Step 6: Final answer
    x = 509.51

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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.