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Finding the Fourth Proportional to 534.14, 736.84 and 415.90

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Solution

The fourth proportional to 534.14, 736.84 and 415.90 is: 573.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.14 : 736.84 = 415.90 : x
  2. Step 2: Convert to fraction form
    534.14/736.84 = 415.90/x
  3. Step 3: Cross multiply
    534.14x = 736.84 × 415.90
  4. Step 4: Simplify right side
    534.14x = 306,448.07
  5. Step 5: Solve for x
    x = 306,448.07/534.14
  6. Step 6: Final answer
    x = 573.73

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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.