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Finding the Fourth Proportional to 482.99, 723.22 and 401.58

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Solution

The fourth proportional to 482.99, 723.22 and 401.58 is: 601.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.99 : 723.22 = 401.58 : x
  2. Step 2: Convert to fraction form
    482.99/723.22 = 401.58/x
  3. Step 3: Cross multiply
    482.99x = 723.22 × 401.58
  4. Step 4: Simplify right side
    482.99x = 290,429.68
  5. Step 5: Solve for x
    x = 290,429.68/482.99
  6. Step 6: Final answer
    x = 601.32

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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.