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Finding the Fourth Proportional to 523.26, 783.75 and 340.11

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Solution

The fourth proportional to 523.26, 783.75 and 340.11 is: 509.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.26 : 783.75 = 340.11 : x
  2. Step 2: Convert to fraction form
    523.26/783.75 = 340.11/x
  3. Step 3: Cross multiply
    523.26x = 783.75 × 340.11
  4. Step 4: Simplify right side
    523.26x = 266,561.21
  5. Step 5: Solve for x
    x = 266,561.21/523.26
  6. Step 6: Final answer
    x = 509.42

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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.