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Finding the Fourth Proportional to 504.56, 756.42 and 396.84

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Solution

The fourth proportional to 504.56, 756.42 and 396.84 is: 594.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.56 : 756.42 = 396.84 : x
  2. Step 2: Convert to fraction form
    504.56/756.42 = 396.84/x
  3. Step 3: Cross multiply
    504.56x = 756.42 × 396.84
  4. Step 4: Simplify right side
    504.56x = 300,177.71
  5. Step 5: Solve for x
    x = 300,177.71/504.56
  6. Step 6: Final answer
    x = 594.93

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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.