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Finding the Fourth Proportional to 482.52, 719.91 and 416.91

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Solution

The fourth proportional to 482.52, 719.91 and 416.91 is: 622.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.52 : 719.91 = 416.91 : x
  2. Step 2: Convert to fraction form
    482.52/719.91 = 416.91/x
  3. Step 3: Cross multiply
    482.52x = 719.91 × 416.91
  4. Step 4: Simplify right side
    482.52x = 300,137.68
  5. Step 5: Solve for x
    x = 300,137.68/482.52
  6. Step 6: Final answer
    x = 622.02

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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.