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Finding the Fourth Proportional to 969.85, 1,453.69 and 752.89

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Solution

The fourth proportional to 969.85, 1,453.69 and 752.89 is: 1,128.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.85 : 1,453.69 = 752.89 : x
  2. Step 2: Convert to fraction form
    969.85/1,453.69 = 752.89/x
  3. Step 3: Cross multiply
    969.85x = 1,453.69 × 752.89
  4. Step 4: Simplify right side
    969.85x = 1,094,468.66
  5. Step 5: Solve for x
    x = 1,094,468.66/969.85
  6. Step 6: Final answer
    x = 1,128.49

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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.