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Finding the Fourth Proportional to 969.48, 1,336.32 and 771.12

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Solution

The fourth proportional to 969.48, 1,336.32 and 771.12 is: 1,062.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.48 : 1,336.32 = 771.12 : x
  2. Step 2: Convert to fraction form
    969.48/1,336.32 = 771.12/x
  3. Step 3: Cross multiply
    969.48x = 1,336.32 × 771.12
  4. Step 4: Simplify right side
    969.48x = 1,030,463.08
  5. Step 5: Solve for x
    x = 1,030,463.08/969.48
  6. Step 6: Final answer
    x = 1,062.90

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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.