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Finding the Fourth Proportional to 769.77, 1,156.22 and 462.21

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Solution

The fourth proportional to 769.77, 1,156.22 and 462.21 is: 694.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.77 : 1,156.22 = 462.21 : x
  2. Step 2: Convert to fraction form
    769.77/1,156.22 = 462.21/x
  3. Step 3: Cross multiply
    769.77x = 1,156.22 × 462.21
  4. Step 4: Simplify right side
    769.77x = 534,414.14
  5. Step 5: Solve for x
    x = 534,414.14/769.77
  6. Step 6: Final answer
    x = 694.25

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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.