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Finding the Fourth Proportional to 523.11, 784.81 and 248.82

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Solution

The fourth proportional to 523.11, 784.81 and 248.82 is: 373.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.11 : 784.81 = 248.82 : x
  2. Step 2: Convert to fraction form
    523.11/784.81 = 248.82/x
  3. Step 3: Cross multiply
    523.11x = 784.81 × 248.82
  4. Step 4: Simplify right side
    523.11x = 195,276.42
  5. Step 5: Solve for x
    x = 195,276.42/523.11
  6. Step 6: Final answer
    x = 373.30

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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.