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Finding the Fourth Proportional to 965.12, 1,445.80 and 770.48

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Solution

The fourth proportional to 965.12, 1,445.80 and 770.48 is: 1,154.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.12 : 1,445.80 = 770.48 : x
  2. Step 2: Convert to fraction form
    965.12/1,445.80 = 770.48/x
  3. Step 3: Cross multiply
    965.12x = 1,445.80 × 770.48
  4. Step 4: Simplify right side
    965.12x = 1,113,959.98
  5. Step 5: Solve for x
    x = 1,113,959.98/965.12
  6. Step 6: Final answer
    x = 1,154.22

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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.