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Finding the Fourth Proportional to 1,004.96, 1,508.07 and 427.79

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Solution

The fourth proportional to 1,004.96, 1,508.07 and 427.79 is: 641.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.96 : 1,508.07 = 427.79 : x
  2. Step 2: Convert to fraction form
    1,004.96/1,508.07 = 427.79/x
  3. Step 3: Cross multiply
    1,004.96x = 1,508.07 × 427.79
  4. Step 4: Simplify right side
    1,004.96x = 645,137.27
  5. Step 5: Solve for x
    x = 645,137.27/1,004.96
  6. Step 6: Final answer
    x = 641.95

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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.