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Finding the Fourth Proportional to 500.43, 754.65 and 493.59

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Solution

The fourth proportional to 500.43, 754.65 and 493.59 is: 744.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.43 : 754.65 = 493.59 : x
  2. Step 2: Convert to fraction form
    500.43/754.65 = 493.59/x
  3. Step 3: Cross multiply
    500.43x = 754.65 × 493.59
  4. Step 4: Simplify right side
    500.43x = 372,487.69
  5. Step 5: Solve for x
    x = 372,487.69/500.43
  6. Step 6: Final answer
    x = 744.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.