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Finding the Fourth Proportional to 523.98, 784.80 and 407.82

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Solution

The fourth proportional to 523.98, 784.80 and 407.82 is: 610.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.98 : 784.80 = 407.82 : x
  2. Step 2: Convert to fraction form
    523.98/784.80 = 407.82/x
  3. Step 3: Cross multiply
    523.98x = 784.80 × 407.82
  4. Step 4: Simplify right side
    523.98x = 320,057.14
  5. Step 5: Solve for x
    x = 320,057.14/523.98
  6. Step 6: Final answer
    x = 610.82

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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.