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Finding the Fourth Proportional to 772.63, 1,158.17 and 382.91

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Solution

The fourth proportional to 772.63, 1,158.17 and 382.91 is: 573.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.63 : 1,158.17 = 382.91 : x
  2. Step 2: Convert to fraction form
    772.63/1,158.17 = 382.91/x
  3. Step 3: Cross multiply
    772.63x = 1,158.17 × 382.91
  4. Step 4: Simplify right side
    772.63x = 443,480.99
  5. Step 5: Solve for x
    x = 443,480.99/772.63
  6. Step 6: Final answer
    x = 573.99

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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.