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Finding the Fourth Proportional to 499.71, 749.30 and 383.87

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Solution

The fourth proportional to 499.71, 749.30 and 383.87 is: 575.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.71 : 749.30 = 383.87 : x
  2. Step 2: Convert to fraction form
    499.71/749.30 = 383.87/x
  3. Step 3: Cross multiply
    499.71x = 749.30 × 383.87
  4. Step 4: Simplify right side
    499.71x = 287,628.13
  5. Step 5: Solve for x
    x = 287,628.13/499.71
  6. Step 6: Final answer
    x = 575.59

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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.