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Finding the Fourth Proportional to 416.01, 619.53 and 401.61

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Solution

The fourth proportional to 416.01, 619.53 and 401.61 is: 598.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.01 : 619.53 = 401.61 : x
  2. Step 2: Convert to fraction form
    416.01/619.53 = 401.61/x
  3. Step 3: Cross multiply
    416.01x = 619.53 × 401.61
  4. Step 4: Simplify right side
    416.01x = 248,809.44
  5. Step 5: Solve for x
    x = 248,809.44/416.01
  6. Step 6: Final answer
    x = 598.09

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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.