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Finding the Fourth Proportional to 793.78, 1,189.98 and 307.18

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Solution

The fourth proportional to 793.78, 1,189.98 and 307.18 is: 460.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.78 : 1,189.98 = 307.18 : x
  2. Step 2: Convert to fraction form
    793.78/1,189.98 = 307.18/x
  3. Step 3: Cross multiply
    793.78x = 1,189.98 × 307.18
  4. Step 4: Simplify right side
    793.78x = 365,538.06
  5. Step 5: Solve for x
    x = 365,538.06/793.78
  6. Step 6: Final answer
    x = 460.50

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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.