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Finding the Fourth Proportional to 504.63, 756.52 and 196.70

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Solution

The fourth proportional to 504.63, 756.52 and 196.70 is: 294.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.63 : 756.52 = 196.70 : x
  2. Step 2: Convert to fraction form
    504.63/756.52 = 196.70/x
  3. Step 3: Cross multiply
    504.63x = 756.52 × 196.70
  4. Step 4: Simplify right side
    504.63x = 148,807.98
  5. Step 5: Solve for x
    x = 148,807.98/504.63
  6. Step 6: Final answer
    x = 294.88

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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.