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Finding the Fourth Proportional to 2,903.02, 4,354.50 and 711.76

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Solution

The fourth proportional to 2,903.02, 4,354.50 and 711.76 is: 1,067.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.02 : 4,354.50 = 711.76 : x
  2. Step 2: Convert to fraction form
    2,903.02/4,354.50 = 711.76/x
  3. Step 3: Cross multiply
    2,903.02x = 4,354.50 × 711.76
  4. Step 4: Simplify right side
    2,903.02x = 3,099,358.92
  5. Step 5: Solve for x
    x = 3,099,358.92/2,903.02
  6. Step 6: Final answer
    x = 1,067.63

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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.