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Finding the Fourth Proportional to 965.02, 1,449.84 and 619.03

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Solution

The fourth proportional to 965.02, 1,449.84 and 619.03 is: 930.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.02 : 1,449.84 = 619.03 : x
  2. Step 2: Convert to fraction form
    965.02/1,449.84 = 619.03/x
  3. Step 3: Cross multiply
    965.02x = 1,449.84 × 619.03
  4. Step 4: Simplify right side
    965.02x = 897,491.36
  5. Step 5: Solve for x
    x = 897,491.36/965.02
  6. Step 6: Final answer
    x = 930.02

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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.