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Finding the Fourth Proportional to 416.04, 620.34 and 400.65

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Solution

The fourth proportional to 416.04, 620.34 and 400.65 is: 597.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.04 : 620.34 = 400.65 : x
  2. Step 2: Convert to fraction form
    416.04/620.34 = 400.65/x
  3. Step 3: Cross multiply
    416.04x = 620.34 × 400.65
  4. Step 4: Simplify right side
    416.04x = 248,539.22
  5. Step 5: Solve for x
    x = 248,539.22/416.04
  6. Step 6: Final answer
    x = 597.39

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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.