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Finding the Fourth Proportional to 769.70, 1,154.61 and 379.91

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Solution

The fourth proportional to 769.70, 1,154.61 and 379.91 is: 569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.70 : 1,154.61 = 379.91 : x
  2. Step 2: Convert to fraction form
    769.70/1,154.61 = 379.91/x
  3. Step 3: Cross multiply
    769.70x = 1,154.61 × 379.91
  4. Step 4: Simplify right side
    769.70x = 438,647.89
  5. Step 5: Solve for x
    x = 438,647.89/769.70
  6. Step 6: Final answer
    x = 569.89

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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.