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Finding the Fourth Proportional to 536.31, 739.35 and 426.15

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Solution

The fourth proportional to 536.31, 739.35 and 426.15 is: 587.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.31 : 739.35 = 426.15 : x
  2. Step 2: Convert to fraction form
    536.31/739.35 = 426.15/x
  3. Step 3: Cross multiply
    536.31x = 739.35 × 426.15
  4. Step 4: Simplify right side
    536.31x = 315,074.00
  5. Step 5: Solve for x
    x = 315,074.00/536.31
  6. Step 6: Final answer
    x = 587.48

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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.