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Finding the Fourth Proportional to 965.80, 1,350.50 and 965.80

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Solution

The fourth proportional to 965.80, 1,350.50 and 965.80 is: 1,350.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.80 : 1,350.50 = 965.80 : x
  2. Step 2: Convert to fraction form
    965.80/1,350.50 = 965.80/x
  3. Step 3: Cross multiply
    965.80x = 1,350.50 × 965.80
  4. Step 4: Simplify right side
    965.80x = 1,304,312.90
  5. Step 5: Solve for x
    x = 1,304,312.90/965.80
  6. Step 6: Final answer
    x = 1,350.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.