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Finding the Fourth Proportional to 523.03, 784.08 and 406.84

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Solution

The fourth proportional to 523.03, 784.08 and 406.84 is: 609.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.03 : 784.08 = 406.84 : x
  2. Step 2: Convert to fraction form
    523.03/784.08 = 406.84/x
  3. Step 3: Cross multiply
    523.03x = 784.08 × 406.84
  4. Step 4: Simplify right side
    523.03x = 318,995.11
  5. Step 5: Solve for x
    x = 318,995.11/523.03
  6. Step 6: Final answer
    x = 609.90

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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.