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Finding the Fourth Proportional to 899.64, 1,348.62 and 769.44

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Solution

The fourth proportional to 899.64, 1,348.62 and 769.44 is: 1,153.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.64 : 1,348.62 = 769.44 : x
  2. Step 2: Convert to fraction form
    899.64/1,348.62 = 769.44/x
  3. Step 3: Cross multiply
    899.64x = 1,348.62 × 769.44
  4. Step 4: Simplify right side
    899.64x = 1,037,682.17
  5. Step 5: Solve for x
    x = 1,037,682.17/899.64
  6. Step 6: Final answer
    x = 1,153.44

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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.