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Finding the Fourth Proportional to 1,006.02, 1,508.86 and 303.22

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Solution

The fourth proportional to 1,006.02, 1,508.86 and 303.22 is: 454.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.02 : 1,508.86 = 303.22 : x
  2. Step 2: Convert to fraction form
    1,006.02/1,508.86 = 303.22/x
  3. Step 3: Cross multiply
    1,006.02x = 1,508.86 × 303.22
  4. Step 4: Simplify right side
    1,006.02x = 457,516.53
  5. Step 5: Solve for x
    x = 457,516.53/1,006.02
  6. Step 6: Final answer
    x = 454.78

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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.