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Finding the Fourth Proportional to 534.38, 736.79 and 345.02

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Solution

The fourth proportional to 534.38, 736.79 and 345.02 is: 475.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.38 : 736.79 = 345.02 : x
  2. Step 2: Convert to fraction form
    534.38/736.79 = 345.02/x
  3. Step 3: Cross multiply
    534.38x = 736.79 × 345.02
  4. Step 4: Simplify right side
    534.38x = 254,201.88
  5. Step 5: Solve for x
    x = 254,201.88/534.38
  6. Step 6: Final answer
    x = 475.70

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Double scale
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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.