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Finding the Fourth Proportional to 785.06, 1,177.56 and 200.08

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Solution

The fourth proportional to 785.06, 1,177.56 and 200.08 is: 300.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.06 : 1,177.56 = 200.08 : x
  2. Step 2: Convert to fraction form
    785.06/1,177.56 = 200.08/x
  3. Step 3: Cross multiply
    785.06x = 1,177.56 × 200.08
  4. Step 4: Simplify right side
    785.06x = 235,606.20
  5. Step 5: Solve for x
    x = 235,606.20/785.06
  6. Step 6: Final answer
    x = 300.11

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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.