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Finding the Fourth Proportional to 772.23, 1,157.76 and 382.08

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Solution

The fourth proportional to 772.23, 1,157.76 and 382.08 is: 572.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.23 : 1,157.76 = 382.08 : x
  2. Step 2: Convert to fraction form
    772.23/1,157.76 = 382.08/x
  3. Step 3: Cross multiply
    772.23x = 1,157.76 × 382.08
  4. Step 4: Simplify right side
    772.23x = 442,356.94
  5. Step 5: Solve for x
    x = 442,356.94/772.23
  6. Step 6: Final answer
    x = 572.83

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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.