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Finding the Fourth Proportional to 610.46, 919.90 and 504.62

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Solution

The fourth proportional to 610.46, 919.90 and 504.62 is: 760.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.46 : 919.90 = 504.62 : x
  2. Step 2: Convert to fraction form
    610.46/919.90 = 504.62/x
  3. Step 3: Cross multiply
    610.46x = 919.90 × 504.62
  4. Step 4: Simplify right side
    610.46x = 464,199.94
  5. Step 5: Solve for x
    x = 464,199.94/610.46
  6. Step 6: Final answer
    x = 760.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.