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Finding the Fourth Proportional to 451.25, 621.87 and 406.52

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Solution

The fourth proportional to 451.25, 621.87 and 406.52 is: 560.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.25 : 621.87 = 406.52 : x
  2. Step 2: Convert to fraction form
    451.25/621.87 = 406.52/x
  3. Step 3: Cross multiply
    451.25x = 621.87 × 406.52
  4. Step 4: Simplify right side
    451.25x = 252,802.59
  5. Step 5: Solve for x
    x = 252,802.59/451.25
  6. Step 6: Final answer
    x = 560.23

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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.