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Finding the Fourth Proportional to 539.56, 740.25 and 535.08

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Solution

The fourth proportional to 539.56, 740.25 and 535.08 is: 734.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.56 : 740.25 = 535.08 : x
  2. Step 2: Convert to fraction form
    539.56/740.25 = 535.08/x
  3. Step 3: Cross multiply
    539.56x = 740.25 × 535.08
  4. Step 4: Simplify right side
    539.56x = 396,092.97
  5. Step 5: Solve for x
    x = 396,092.97/539.56
  6. Step 6: Final answer
    x = 734.10

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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.