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Finding the Fourth Proportional to 496.29, 744.86 and 387.30

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Solution

The fourth proportional to 496.29, 744.86 and 387.30 is: 581.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.29 : 744.86 = 387.30 : x
  2. Step 2: Convert to fraction form
    496.29/744.86 = 387.30/x
  3. Step 3: Cross multiply
    496.29x = 744.86 × 387.30
  4. Step 4: Simplify right side
    496.29x = 288,484.28
  5. Step 5: Solve for x
    x = 288,484.28/496.29
  6. Step 6: Final answer
    x = 581.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.