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Finding the Fourth Proportional to 482.62, 723.06 and 406.12

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Solution

The fourth proportional to 482.62, 723.06 and 406.12 is: 608.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.62 : 723.06 = 406.12 : x
  2. Step 2: Convert to fraction form
    482.62/723.06 = 406.12/x
  3. Step 3: Cross multiply
    482.62x = 723.06 × 406.12
  4. Step 4: Simplify right side
    482.62x = 293,649.13
  5. Step 5: Solve for x
    x = 293,649.13/482.62
  6. Step 6: Final answer
    x = 608.45

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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.