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Finding the Fourth Proportional to 1,467.29, 2,201.54 and 645.75

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Solution

The fourth proportional to 1,467.29, 2,201.54 and 645.75 is: 968.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.29 : 2,201.54 = 645.75 : x
  2. Step 2: Convert to fraction form
    1,467.29/2,201.54 = 645.75/x
  3. Step 3: Cross multiply
    1,467.29x = 2,201.54 × 645.75
  4. Step 4: Simplify right side
    1,467.29x = 1,421,644.46
  5. Step 5: Solve for x
    x = 1,421,644.46/1,467.29
  6. Step 6: Final answer
    x = 968.89

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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.