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Finding the Fourth Proportional to 769.42, 1,153.36 and 659.31

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Solution

The fourth proportional to 769.42, 1,153.36 and 659.31 is: 988.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.42 : 1,153.36 = 659.31 : x
  2. Step 2: Convert to fraction form
    769.42/1,153.36 = 659.31/x
  3. Step 3: Cross multiply
    769.42x = 1,153.36 × 659.31
  4. Step 4: Simplify right side
    769.42x = 760,421.78
  5. Step 5: Solve for x
    x = 760,421.78/769.42
  6. Step 6: Final answer
    x = 988.31

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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.