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Finding the Fourth Proportional to 416.68, 573.96 and 400.84

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Solution

The fourth proportional to 416.68, 573.96 and 400.84 is: 552.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.68 : 573.96 = 400.84 : x
  2. Step 2: Convert to fraction form
    416.68/573.96 = 400.84/x
  3. Step 3: Cross multiply
    416.68x = 573.96 × 400.84
  4. Step 4: Simplify right side
    416.68x = 230,066.13
  5. Step 5: Solve for x
    x = 230,066.13/416.68
  6. Step 6: Final answer
    x = 552.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.