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Finding the Fourth Proportional to 619.72, 925.19 and 482.02

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Solution

The fourth proportional to 619.72, 925.19 and 482.02 is: 719.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.72 : 925.19 = 482.02 : x
  2. Step 2: Convert to fraction form
    619.72/925.19 = 482.02/x
  3. Step 3: Cross multiply
    619.72x = 925.19 × 482.02
  4. Step 4: Simplify right side
    619.72x = 445,960.08
  5. Step 5: Solve for x
    x = 445,960.08/619.72
  6. Step 6: Final answer
    x = 719.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.