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Finding the Fourth Proportional to 965.65, 1,334.01 and 771.25

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Solution

The fourth proportional to 965.65, 1,334.01 and 771.25 is: 1,065.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.65 : 1,334.01 = 771.25 : x
  2. Step 2: Convert to fraction form
    965.65/1,334.01 = 771.25/x
  3. Step 3: Cross multiply
    965.65x = 1,334.01 × 771.25
  4. Step 4: Simplify right side
    965.65x = 1,028,855.21
  5. Step 5: Solve for x
    x = 1,028,855.21/965.65
  6. Step 6: Final answer
    x = 1,065.45

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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.