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Finding the Fourth Proportional to 536.30, 739.88 and 425.33

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Solution

The fourth proportional to 536.30, 739.88 and 425.33 is: 586.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.30 : 739.88 = 425.33 : x
  2. Step 2: Convert to fraction form
    536.30/739.88 = 425.33/x
  3. Step 3: Cross multiply
    536.30x = 739.88 × 425.33
  4. Step 4: Simplify right side
    536.30x = 314,693.16
  5. Step 5: Solve for x
    x = 314,693.16/536.30
  6. Step 6: Final answer
    x = 586.79

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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.