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Finding the Fourth Proportional to 523.05, 784.54 and 214.80

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Solution

The fourth proportional to 523.05, 784.54 and 214.80 is: 322.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.05 : 784.54 = 214.80 : x
  2. Step 2: Convert to fraction form
    523.05/784.54 = 214.80/x
  3. Step 3: Cross multiply
    523.05x = 784.54 × 214.80
  4. Step 4: Simplify right side
    523.05x = 168,519.19
  5. Step 5: Solve for x
    x = 168,519.19/523.05
  6. Step 6: Final answer
    x = 322.19

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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.