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Finding the Fourth Proportional to 619.28, 927.40 and 465.04

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Solution

The fourth proportional to 619.28, 927.40 and 465.04 is: 696.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.28 : 927.40 = 465.04 : x
  2. Step 2: Convert to fraction form
    619.28/927.40 = 465.04/x
  3. Step 3: Cross multiply
    619.28x = 927.40 × 465.04
  4. Step 4: Simplify right side
    619.28x = 431,278.10
  5. Step 5: Solve for x
    x = 431,278.10/619.28
  6. Step 6: Final answer
    x = 696.42

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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.