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Finding the Fourth Proportional to 416.40, 628.32 and 400.32

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Solution

The fourth proportional to 416.40, 628.32 and 400.32 is: 604.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.40 : 628.32 = 400.32 : x
  2. Step 2: Convert to fraction form
    416.40/628.32 = 400.32/x
  3. Step 3: Cross multiply
    416.40x = 628.32 × 400.32
  4. Step 4: Simplify right side
    416.40x = 251,529.06
  5. Step 5: Solve for x
    x = 251,529.06/416.40
  6. Step 6: Final answer
    x = 604.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.