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Finding the Fourth Proportional to 504.87, 756.01 and 367.80

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Solution

The fourth proportional to 504.87, 756.01 and 367.80 is: 550.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.87 : 756.01 = 367.80 : x
  2. Step 2: Convert to fraction form
    504.87/756.01 = 367.80/x
  3. Step 3: Cross multiply
    504.87x = 756.01 × 367.80
  4. Step 4: Simplify right side
    504.87x = 278,060.48
  5. Step 5: Solve for x
    x = 278,060.48/504.87
  6. Step 6: Final answer
    x = 550.76

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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.