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Finding the Fourth Proportional to 785.34, 1,177.77 and 272.22

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Solution

The fourth proportional to 785.34, 1,177.77 and 272.22 is: 408.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.34 : 1,177.77 = 272.22 : x
  2. Step 2: Convert to fraction form
    785.34/1,177.77 = 272.22/x
  3. Step 3: Cross multiply
    785.34x = 1,177.77 × 272.22
  4. Step 4: Simplify right side
    785.34x = 320,612.55
  5. Step 5: Solve for x
    x = 320,612.55/785.34
  6. Step 6: Final answer
    x = 408.25

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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.