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Finding the Fourth Proportional to 654.42, 902.26 and 535.96

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Solution

The fourth proportional to 654.42, 902.26 and 535.96 is: 738.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.42 : 902.26 = 535.96 : x
  2. Step 2: Convert to fraction form
    654.42/902.26 = 535.96/x
  3. Step 3: Cross multiply
    654.42x = 902.26 × 535.96
  4. Step 4: Simplify right side
    654.42x = 483,571.67
  5. Step 5: Solve for x
    x = 483,571.67/654.42
  6. Step 6: Final answer
    x = 738.93

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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.