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Finding the Fourth Proportional to 535.26, 739.29 and 437.40

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Solution

The fourth proportional to 535.26, 739.29 and 437.40 is: 604.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.26 : 739.29 = 437.40 : x
  2. Step 2: Convert to fraction form
    535.26/739.29 = 437.40/x
  3. Step 3: Cross multiply
    535.26x = 739.29 × 437.40
  4. Step 4: Simplify right side
    535.26x = 323,365.45
  5. Step 5: Solve for x
    x = 323,365.45/535.26
  6. Step 6: Final answer
    x = 604.13

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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.