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Finding the Fourth Proportional to 535.12, 737.48 and 436.56

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Solution

The fourth proportional to 535.12, 737.48 and 436.56 is: 601.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.12 : 737.48 = 436.56 : x
  2. Step 2: Convert to fraction form
    535.12/737.48 = 436.56/x
  3. Step 3: Cross multiply
    535.12x = 737.48 × 436.56
  4. Step 4: Simplify right side
    535.12x = 321,954.27
  5. Step 5: Solve for x
    x = 321,954.27/535.12
  6. Step 6: Final answer
    x = 601.65

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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.