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Finding the Fourth Proportional to 779.43, 1,169.13 and 285.87

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Solution

The fourth proportional to 779.43, 1,169.13 and 285.87 is: 428.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.43 : 1,169.13 = 285.87 : x
  2. Step 2: Convert to fraction form
    779.43/1,169.13 = 285.87/x
  3. Step 3: Cross multiply
    779.43x = 1,169.13 × 285.87
  4. Step 4: Simplify right side
    779.43x = 334,219.19
  5. Step 5: Solve for x
    x = 334,219.19/779.43
  6. Step 6: Final answer
    x = 428.80

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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.