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Finding the Fourth Proportional to 536.07, 739.90 and 315.09

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Solution

The fourth proportional to 536.07, 739.90 and 315.09 is: 434.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.07 : 739.90 = 315.09 : x
  2. Step 2: Convert to fraction form
    536.07/739.90 = 315.09/x
  3. Step 3: Cross multiply
    536.07x = 739.90 × 315.09
  4. Step 4: Simplify right side
    536.07x = 233,135.09
  5. Step 5: Solve for x
    x = 233,135.09/536.07
  6. Step 6: Final answer
    x = 434.90

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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.