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Finding the Fourth Proportional to 534.14, 736.32 and 421.92

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Solution

The fourth proportional to 534.14, 736.32 and 421.92 is: 581.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.14 : 736.32 = 421.92 : x
  2. Step 2: Convert to fraction form
    534.14/736.32 = 421.92/x
  3. Step 3: Cross multiply
    534.14x = 736.32 × 421.92
  4. Step 4: Simplify right side
    534.14x = 310,668.13
  5. Step 5: Solve for x
    x = 310,668.13/534.14
  6. Step 6: Final answer
    x = 581.62

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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.