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Finding the Fourth Proportional to 769.49, 1,154.45 and 249.47

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Solution

The fourth proportional to 769.49, 1,154.45 and 249.47 is: 374.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.49 : 1,154.45 = 249.47 : x
  2. Step 2: Convert to fraction form
    769.49/1,154.45 = 249.47/x
  3. Step 3: Cross multiply
    769.49x = 1,154.45 × 249.47
  4. Step 4: Simplify right side
    769.49x = 288,000.64
  5. Step 5: Solve for x
    x = 288,000.64/769.49
  6. Step 6: Final answer
    x = 374.27

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Double scale
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1.5x scale

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.