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Finding the Fourth Proportional to 965.03, 1,441.68 and 615.58

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Solution

The fourth proportional to 965.03, 1,441.68 and 615.58 is: 919.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.03 : 1,441.68 = 615.58 : x
  2. Step 2: Convert to fraction form
    965.03/1,441.68 = 615.58/x
  3. Step 3: Cross multiply
    965.03x = 1,441.68 × 615.58
  4. Step 4: Simplify right side
    965.03x = 887,469.37
  5. Step 5: Solve for x
    x = 887,469.37/965.03
  6. Step 6: Final answer
    x = 919.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.