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Finding the Fourth Proportional to 504.87, 756.41 and 309.78

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Solution

The fourth proportional to 504.87, 756.41 and 309.78 is: 464.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.87 : 756.41 = 309.78 : x
  2. Step 2: Convert to fraction form
    504.87/756.41 = 309.78/x
  3. Step 3: Cross multiply
    504.87x = 756.41 × 309.78
  4. Step 4: Simplify right side
    504.87x = 234,319.14
  5. Step 5: Solve for x
    x = 234,319.14/504.87
  6. Step 6: Final answer
    x = 464.12

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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.