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Finding the Fourth Proportional to 534.55, 736.14 and 436.54

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Solution

The fourth proportional to 534.55, 736.14 and 436.54 is: 601.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.55 : 736.14 = 436.54 : x
  2. Step 2: Convert to fraction form
    534.55/736.14 = 436.54/x
  3. Step 3: Cross multiply
    534.55x = 736.14 × 436.54
  4. Step 4: Simplify right side
    534.55x = 321,354.56
  5. Step 5: Solve for x
    x = 321,354.56/534.55
  6. Step 6: Final answer
    x = 601.17

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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.