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Finding the Fourth Proportional to 450.52, 620.80 and 345.60

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Solution

The fourth proportional to 450.52, 620.80 and 345.60 is: 476.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.52 : 620.80 = 345.60 : x
  2. Step 2: Convert to fraction form
    450.52/620.80 = 345.60/x
  3. Step 3: Cross multiply
    450.52x = 620.80 × 345.60
  4. Step 4: Simplify right side
    450.52x = 214,548.48
  5. Step 5: Solve for x
    x = 214,548.48/450.52
  6. Step 6: Final answer
    x = 476.22

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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.