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Finding the Fourth Proportional to 685.95, 1,029.02 and 301.20

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Solution

The fourth proportional to 685.95, 1,029.02 and 301.20 is: 451.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.95 : 1,029.02 = 301.20 : x
  2. Step 2: Convert to fraction form
    685.95/1,029.02 = 301.20/x
  3. Step 3: Cross multiply
    685.95x = 1,029.02 × 301.20
  4. Step 4: Simplify right side
    685.95x = 309,940.82
  5. Step 5: Solve for x
    x = 309,940.82/685.95
  6. Step 6: Final answer
    x = 451.84

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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.