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Finding the Fourth Proportional to 451.07, 621.24 and 416.21

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Solution

The fourth proportional to 451.07, 621.24 and 416.21 is: 573.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.07 : 621.24 = 416.21 : x
  2. Step 2: Convert to fraction form
    451.07/621.24 = 416.21/x
  3. Step 3: Cross multiply
    451.07x = 621.24 × 416.21
  4. Step 4: Simplify right side
    451.07x = 258,570.39
  5. Step 5: Solve for x
    x = 258,570.39/451.07
  6. Step 6: Final answer
    x = 573.24

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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.