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Finding the Fourth Proportional to 535.40, 737.91 and 441.59

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Solution

The fourth proportional to 535.40, 737.91 and 441.59 is: 608.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.40 : 737.91 = 441.59 : x
  2. Step 2: Convert to fraction form
    535.40/737.91 = 441.59/x
  3. Step 3: Cross multiply
    535.40x = 737.91 × 441.59
  4. Step 4: Simplify right side
    535.40x = 325,853.68
  5. Step 5: Solve for x
    x = 325,853.68/535.40
  6. Step 6: Final answer
    x = 608.62

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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.