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Finding the Fourth Proportional to 764.50, 1,052.69 and 653.73

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Solution

The fourth proportional to 764.50, 1,052.69 and 653.73 is: 900.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.50 : 1,052.69 = 653.73 : x
  2. Step 2: Convert to fraction form
    764.50/1,052.69 = 653.73/x
  3. Step 3: Cross multiply
    764.50x = 1,052.69 × 653.73
  4. Step 4: Simplify right side
    764.50x = 688,175.03
  5. Step 5: Solve for x
    x = 688,175.03/764.50
  6. Step 6: Final answer
    x = 900.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.