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Finding the Fourth Proportional to 536.02, 739.73 and 314.94

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Solution

The fourth proportional to 536.02, 739.73 and 314.94 is: 434.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.02 : 739.73 = 314.94 : x
  2. Step 2: Convert to fraction form
    536.02/739.73 = 314.94/x
  3. Step 3: Cross multiply
    536.02x = 739.73 × 314.94
  4. Step 4: Simplify right side
    536.02x = 232,970.57
  5. Step 5: Solve for x
    x = 232,970.57/536.02
  6. Step 6: Final answer
    x = 434.63

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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.