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Finding the Fourth Proportional to 523.21, 784.40 and 263.07

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Solution

The fourth proportional to 523.21, 784.40 and 263.07 is: 394.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.21 : 784.40 = 263.07 : x
  2. Step 2: Convert to fraction form
    523.21/784.40 = 263.07/x
  3. Step 3: Cross multiply
    523.21x = 784.40 × 263.07
  4. Step 4: Simplify right side
    523.21x = 206,352.11
  5. Step 5: Solve for x
    x = 206,352.11/523.21
  6. Step 6: Final answer
    x = 394.40

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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.