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Finding the Fourth Proportional to 1,467.40, 2,201.58 and 645.88

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Solution

The fourth proportional to 1,467.40, 2,201.58 and 645.88 is: 969.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.40 : 2,201.58 = 645.88 : x
  2. Step 2: Convert to fraction form
    1,467.40/2,201.58 = 645.88/x
  3. Step 3: Cross multiply
    1,467.40x = 2,201.58 × 645.88
  4. Step 4: Simplify right side
    1,467.40x = 1,421,956.49
  5. Step 5: Solve for x
    x = 1,421,956.49/1,467.40
  6. Step 6: Final answer
    x = 969.03

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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.