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Finding the Fourth Proportional to 772.09, 1,158.29 and 382.07

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Solution

The fourth proportional to 772.09, 1,158.29 and 382.07 is: 573.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.09 : 1,158.29 = 382.07 : x
  2. Step 2: Convert to fraction form
    772.09/1,158.29 = 382.07/x
  3. Step 3: Cross multiply
    772.09x = 1,158.29 × 382.07
  4. Step 4: Simplify right side
    772.09x = 442,547.86
  5. Step 5: Solve for x
    x = 442,547.86/772.09
  6. Step 6: Final answer
    x = 573.18

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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.