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Finding the Fourth Proportional to 437.13, 602.61 and 343.50

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Solution

The fourth proportional to 437.13, 602.61 and 343.50 is: 473.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.13 : 602.61 = 343.50 : x
  2. Step 2: Convert to fraction form
    437.13/602.61 = 343.50/x
  3. Step 3: Cross multiply
    437.13x = 602.61 × 343.50
  4. Step 4: Simplify right side
    437.13x = 206,996.54
  5. Step 5: Solve for x
    x = 206,996.54/437.13
  6. Step 6: Final answer
    x = 473.54

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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.