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Finding the Fourth Proportional to 535.82, 734.47 and 528.53

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Solution

The fourth proportional to 535.82, 734.47 and 528.53 is: 724.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.82 : 734.47 = 528.53 : x
  2. Step 2: Convert to fraction form
    535.82/734.47 = 528.53/x
  3. Step 3: Cross multiply
    535.82x = 734.47 × 528.53
  4. Step 4: Simplify right side
    535.82x = 388,184.44
  5. Step 5: Solve for x
    x = 388,184.44/535.82
  6. Step 6: Final answer
    x = 724.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.